Conditional Probability Answers

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize.What is the probability that a ticket that is randomly chosen will award a larger prize?

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.

Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

If events A and B are independent, what must be true?

Use the Venn diagram to calculate probabilities.

Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink.To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip?