Probability and Replacement

What is the probability of drawing a 2, then drawing another 2? (no replacement--dependent event)

• 2/8 = 1/4

• 2/56 = 1/28

• 1/7

• 3/7

What is the probability of drawing number divisible by 3, then drawing a 1? (no replacement--dependent event)

• 4/8 = 1/2

• 2/7

• 4/9

• 8/56 = 1/7

What is the probability of drawing a 1, then drawing a 6? (no replacement--dependent event)

• 6/56 = 3/28

• 3/7

• 2/8 = 1/4

• 8/56 = 1/7

What is the probability of drawing a prime number, then drawing a composite number? (no replacement--dependent event)

• 6/56 = 3/28

• 4/8 = 1/2

• 16/56 = 2/7

• 8/56 = 1/7

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

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

• 9/49

• 1/7

• 3/14

• 6/42

Sammy has a bag with 3 white marbles, 4 yellow marbles, and 5 green marbles.  What is the probability of drawing a white marble followed by a yellow marble, without replacing the white marble? 

• 1/4

• 1/12

• 1/11

• 7/12

What is the probability of randomly selecting a striped marble, REPLACE IT, and then selecting a solid marble?

P (striped, solid)

• 2/5

• 6/25

• 3/5

• 11/50

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

• Independent

• Dependent

A piggy bank contains 15 pennies, 5 nickels, 18 dimes, and 12 quarters.

A coin is chosen at random, replaced, then another is chosen.

Find the probability that both coins chosen are worth at least 5 cents.

P(both coins worth at least 5¢) =

Mathematical Equivalence

ON