STAT_14_1 In the pitcher are balls of different colors. The probability of accidentally taking a red-ball...

STAT_14_1

In the pitcher are balls of different colors.
The probability of accidentally taking a red-ball out of the pitcher is p: (0<p<1).

A. Remove from the pitcher, incidentally and with the possibility of return, six balls.
The probability that exactly one red ball came out is four times greater than the probability that no red balls came out at all.

1. Find the p value.
2. What is the probability that only the first, third, and fifth balls will be red?

B. Now they decided to take balls out of the pitcher, accidentally and with the possibility of return, until the first red ball came out

1. What is the probability of getting exactly five balls out of the pitcher?
2. What is the expectation of the number of non-red balls coming out of the pitcher?

C. Yoav decided to take balls out of the jug, accidentally and with the option of returning, until he removed 4 red balls (not necessarily in succession).
What is the probability that he will get exactly 9 balls?

Expert Solution

orchestra answered 2 years ago

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