Answer to Question #301035 in Statistics and Probability for May

Question

A basket contains 8 ripe and 6 unripe bananas. If three bananas are taken from the basket one after the other. Construct a table that shows all the possible outcomes of the random experiment and all the values of the random variable R representing the number of ripe bananas.

Answer 1

Let U represent the number of unripe bananas, then:

R 0 1 2 3

Possible outcomes {UUU} {RUU, URU, UUR} {RRU, RUR,URR} {RRR}

P(R) 1/8 3/8 3/8 1/8