Probability One Then Other

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)

• 8/15

• 15/225

• 5/15

• 3/15

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5

• 1/21

• 4/25

• 1/7

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3

• 2/9

• 1/6

• 1/4

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182

• 5/182

• 2/91

• 10/91

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 

• 2/7

• 5/49

• 5/7

• 10/49

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

• 4/121

• 8/121

• 3/121

• 6/121

Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent.

• Independent

• Dependent

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

• 3/5

• 3/4

• 3/20

• 2/5

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

• 3/20

• 1/4

• 3/31

• 2/27

How many outcomes are there with tossing a coin and rolling a dice?

• 2

• 6

• 12

• 24