Independent and Conditional Probability

A bag of marbles contains 5 red, 8 green and 2 blue marbles. If two marbles are chosen randomly and put back in the bag, what is the probability that you pick a blue marble and then a green marble?

• 8/105

• 16/225

• 1/15

• 4/225

Find P(Y).

• 0.34

• 0.57

• 0.60

• 0.50

Find P(Y U P).

• 0.61

• 0.84

• 1.07

• 0.16

Find P(Y and P )'.

• 0.50

• 0.57

• 0.23

• 0.77

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking two limes?

• 1/10

• 2/5

• 5/20

• 4/20

What is the probability a student passed the test?

• 5/6

• 50

• 1/6

• 0.5

Find P(Sophomore U Pass)

• 53/60

• 70/60

• 5/6

Out of 125 children at summer camp, 45 signed up for swimming and 38 signed up for arts and crafts. Twelve students who signed up for swimming also signed up for arts and crafts. If a camper is randomly selected, what is the probability that they are signed up for swimming, given that they did not sign up for arts and crafts?

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. Find P ( at least 20 I prime number). (Write your answer in simplest fraction form using "/" for the fraction.)

Moe rolls two dice. What is the probability the sum of the dice is 7, given that the first die is showing a 2?