Permutation , Combination, & Conditional Probability

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

What is the probability of picking a green marble, keeping it, then picking another green marble?

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

A store sells handbags in two colors: black and white. They are available in 2 different sizes: small and large. Which diagram shows every possible combination of the color and size of a bag that one can buy?

• Tree diagram 3

• Tree diagram 4

• Tree diagram 1

• Tree diagram 2

Tags

CCSS.7.SP.C.8B

Edith plants a daffodil bulb. The probability that the bulb will grow is 0.8.

What is the probability that the bulb will not grow?

• 0.8

• 0.2

• 0.4

• 0.6

Tags

CCSS.HSS.CP.B.7

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

• True

• False

Tags

CCSS.HSS.CP.A.1

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

• 2/52
• 4/52
• 16/52
• 26/52

Tags

CCSS.HSS.CP.B.7