Please type your question here A box contains 6 red balls an

Please type your question here:  A box contains 6 red balls and 5 white balls. Two balls are drawn from the box after the other without replacement.

a. What is the total number of possible outcomes that two balls are chosen?

b. What is the total number of possible outcomes that the second ball is red?

c. What is the probability that both drawn balls are red?

Solution

A)

There are 11P2 = 110 ways that the two balls are chosen. (ANSWER, 110)

B)

There are 6 ways that the second ball is red.

There are 10 other ways to choose any ball for the first one.

Thus, there are 60 ways. [answer, 60]

C)

There are 6P2 = 30 ways to choose both red balls.

Thus,

P(both red) = 30/110 = 0.272727273 [answer]