Probabilities
Problem #1 Find the probabilities of getting the following sums when two fair dice are rolled.
No more than 5.
Problem #2 A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
2 black balls and 1 green ball.
Problem #3 In 1992, the Big 10 dollegiate sports conference moved to have women compose at least 40% of its athletes within 5 years. Suppose they exactly achieve the 40% figure, and that 5 athletes are picked at random from Big 10 universities. The number of women is recorded.
(a) give a probability distribution. (b) find the expected value.
This solution is comprised of a detailed explanation to find the probabilities of getting the following sums when two fair dice are rolled, the probabilities that the sample contains 2 black balls and 1 green ball, and etc.
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