probability probability is represented as a ratio of the number of ways an event actually occurs...
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![Page 1: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/1.jpg)
PROBABILITY
Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes
![Page 2: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/2.jpg)
PROBABILITY
Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes
For example, let’s look at a dice rolled one time.
![Page 3: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/3.jpg)
PROBABILITY
Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes
For example, let’s look at a dice rolled one time.
What is the probability of rolling a two ?
![Page 4: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/4.jpg)
PROBABILITY
Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes
For example, let’s look at a dice rolled one time.
What is the probability of rolling a two ?
A two occurs one time on a die…There are six possible numbers we can roll…
![Page 5: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/5.jpg)
PROBABILITY
Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes
For example, let’s look at a dice rolled one time.
What is the probability of rolling a two ?
A two occurs one time on a die…There are six possible numbers we can roll…
![Page 6: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/6.jpg)
PROBABILITY
EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?
![Page 7: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/7.jpg)
PROBABILITY
EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?
There are 4 aces in a deck of cards…There are 52 cards in a deck…
![Page 8: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/8.jpg)
PROBABILITY
EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?
There are 4 aces in a deck of cards…There are 52 cards in a deck…
![Page 9: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/9.jpg)
PROBABILITY
EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?
There are 4 aces in a deck of cards…There are 52 cards in a deck…
EXAMPLE # 3 : A gumball machine has 6 yellow, 4 blue, 3 green, and 5 red gumballs in it. If you put a quarter in the gumball machine, what is the probability that a red gumball will come out ?
![Page 10: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/10.jpg)
PROBABILITY
EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?
There are 4 aces in a deck of cards…There are 52 cards in a deck…
EXAMPLE # 3 : A gumball machine has 6 yellow, 4 blue, 3 green, and 5 red gumballs in it. If you put a quarter in the gumball machine, what is the probability that a red gumball will come out ?
There are 4 red gumballs… There are 6 + 4 + 3 + 5 = 18 total gumballs
![Page 11: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/11.jpg)
PROBABILITY
EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?
There are 4 aces in a deck of cards…There are 52 cards in a deck…
EXAMPLE # 3 : A gumball machine has 6 yellow, 4 blue, 3 green, and 5 red gumballs in it. If you put a quarter in the gumball machine, what is the probability that a red gumball will come out ?
There are 4 red gumballs… There are 6 + 4 + 3 + 5 = 18 total gumballs
![Page 12: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/12.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
![Page 13: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/13.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
There are two types :
With replacement – you replace the card or gumball, etc. for the next trial
![Page 14: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/14.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
There are two types :
With replacement – you replace the card or gumball, etc. for the next trial
Without replacement – you DO NOT replace the item after the first trial
![Page 15: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/15.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
There are two types :
With replacement – you replace the card or gumball, etc. for the next trial
Without replacement – you DO NOT replace the item after the first trial
To calculate the probability, you multiply the ratios…
![Page 16: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/16.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
There are two types :
With replacement – you replace the card or gumball, etc. for the next trial
Without replacement – you DO NOT replace the item after the first trial
To calculate the probability, you multiply the ratios…
EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try with replacement ?
![Page 17: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/17.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
There are two types :
With replacement – you replace the card or gumball, etc. for the next trial
Without replacement – you DO NOT replace the item after the first trial
To calculate the probability, you multiply the ratios…
EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try with replacement ?
![Page 18: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/18.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
There are two types :
With replacement – you replace the card or gumball, etc. for the next trial
Without replacement – you DO NOT replace the item after the first trial
To calculate the probability, you multiply the ratios…
EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try with replacement ?
![Page 19: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/19.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try WITHOUT replacement ?
![Page 20: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/20.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try WITHOUT replacement ?
Notice how the number of possible outcomes changed because we didn’t replace the red chip after the first trial…
![Page 21: PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes](https://reader037.vdocument.in/reader037/viewer/2022103122/56649cf85503460f949c93a1/html5/thumbnails/21.jpg)
PROBABILITY
Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.
EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try WITHOUT replacement ?