Calculating Dependent Probability

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

• 1/13

• 4/663

• 1/676

• 1/169

Determine if the events are independent or dependent.

• Independent

• Dependent

What is the probability of drawing an odd number, then drawing a 6? (no replacement--dependent event)

• 3/8

• 3/7

• 9/56

• 5/37

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

• 4/225

• 1/105

• 3/71

Type your answer as a simplified fraction, no spaces.

Valentina has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize? (leave answer in fraction form in lowest terms, and remember that the first ticket was already drawn out and was not replaced)

• 1/3

• 1/33

• 3/100

• 2/99

What is the probability of drawing a 9, then drawing a number divisible by 1? (no replacement--dependent event)

• 8/56 = 1/7

• 1/8

• 8/7

• 2/9

What is the probability of drawing an even number, then drawing a 1? (no replacement--dependent event)

• 5/8

• 2/7

• 10/56 = 5/28

• 2/56 = 1/28