Conditional Probability Answers

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?

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.

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.

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing.To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog?

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?

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

A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced.To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

Use the Venn diagram to calculate probabilities.

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