1. You are lost in the forest when you encouter a group of members of a tribe ga

Question

1. You are lost in the forest when you encouter a group of members of a tribe gathering wild berries. Among the group of 14 tribe members, there are 9 males and 5 females. You randomly select 2 tribe members to help you find your back to your ship. If the first one you select is a male, what is the probability that the second one you select will be a female?

2. Princess Carolyn and Sir William are planning their wedding. In order to decorate they have selected 2 different flowers to decorate with. If they have 6 different varieties of Lillies and 2 different varities of hydrangeas, how many different arrangments of flowers can they make?

Explanation / Answer

1) P(second one you select will be a female | first one you select is a male) = P(second one you select will be a female and first one you select is a male) / P(first one you select is a male)

                                                                            = (9/14) * (5/13) / (9/14)

                                                                            = 5/13

2) Number of different arrangments of flowers = 6 * 2 = 12

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