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gibson:teaching:fall-2012:math445:lab5 [2012/09/26 19:04] gibson created |
gibson:teaching:fall-2012:math445:lab5 [2012/09/26 19:29] (current) gibson [Problem 1] |
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In the city of Bangalore the probabilty of rain on any given day is 29%. What is the probability | In the city of Bangalore the probabilty of rain on any given day is 29%. What is the probability | ||
- | that it will rain 4 days in a given week? | + | that it will rain on exactly 4 days in a given week? |
===== Problem 2 ===== | ===== Problem 2 ===== | ||
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in adjacent chairs? | in adjacent chairs? | ||
- | * 1/5 | + | * 1/5 |
- | * 1/4 | + | * 1/4 |
- | * 3/8 | + | * 3/8 |
- | * 2/5 | + | * 2/5 |
- | * 1/2 | + | * 1/2 |
===== Problem 3 ===== | ===== Problem 3 ===== | ||
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===== Problem 4 ===== | ===== Problem 4 ===== | ||
- | If you roll two dice repeatedly, what is the probability of rolling a sum of 3 before rolling a sum of 7? | + | If you roll two dice repeatedly, what is the probability of rolling a sum of 4 before rolling a sum of 7? |
===== Problem 5 ===== | ===== Problem 5 ===== | ||
- | Students in a class are selected at random, one after the other, from a class consisting of 8 boys and 9 | + | Students in a class are selected at random, one after the other, from a class consisting of 7 boys and 8 |
girls. What is the probability that boys and girls in the class alternate starting with a girl first? | girls. What is the probability that boys and girls in the class alternate starting with a girl first? | ||
===== Problem 6 ===== | ===== Problem 6 ===== | ||
- | A white urn contains 8 white marbles and a black urn contains 8 black marbles. First, a marble is selected | + | A white urn contains 10 white marbles and a black urn contains 10 black marbles. First, a marble is selected |
at random from the white urn and placed in the black urn. Then, a marble is selected at random from the | at random from the white urn and placed in the black urn. Then, a marble is selected at random from the | ||
black urn and placed in the white urn. Finally, a marble is selected at random from the white urn. What is | black urn and placed in the white urn. Finally, a marble is selected at random from the white urn. What is | ||
the probability that the marble selected is white? | the probability that the marble selected is white? | ||