Solving Dependent Probability Problems

Each letter of the word Banana is written on a card. Find each probability if you pick two cards without replacing the first. What is the probability of picking an A and then a B?

• 1/15

• 1/5

• 1/10

• 3

Find the probability of picking a green and then another green, if you pick two marbles without replacing the first.

A bag contains 18 jerseys, 9 white and 9 red. Find the probability that you would randomly choose a white jersey, not put it back, and then choose a red jersey

A fruit basket contains 3 bananas, 4 oranges, and 5 apples. You randomly choose and eat three pieces of fruit. Find the probability that you would have a banana, then an apple, then another banana.

There are 10 blue socks and 12 brown socks in a drawer. Find the probability of reaching in and getting two blue socks without looking.

Team A, Team B, Team C, Team D, and Team E are all competing in a relay race. Starting positions are chosen at random. Find the probability that Team B will start in the 1st position and Team E will start in the 2nd position.

There are 2 blue, 6 green, 5 yellow, 7 purple and 3 blue marbles in a bag. You randomly draw two marbles from the bag without replacing the first one. Find the probability of getting a green marble and then a yellow marble.

Find each probability of picking a V, then a K, if you pick a card, do not replace it, and then pick a second card.

Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.

Find the probability of picking a yellow, and then not a yellow, if you pick two marbles without replacing the first.