Probability Test - Test #9

How many ways could five finalists be selected from a pool of 32 contestants?

• 201,376

• 24,165,120

• 33,554,432

• 2.328 x 10²²

KC has 8 pairs of pants, 5 short-sleeve shirts, and 4 long-sleeve shirts.

How many outfits consisting of a shirt and a pair of pants can KC create from this wardrobe?

• 28

• 17

• 72

• 160

A multiple choice test has 25 questions, each with options ABCD. How many different ways could a student respond to these questions?

• 390,625

• 1.126 X 10¹⁵

• 303,600

• 12,650

A club needs to elect three different people from its membership to serve as chairperson, vice-chairperson, and treasurer. How many different ways could they fill these positions from its 72 members?

• 216

• 373,248

• 357,840

• 59,640

What is the probability of tossing six coins on a table and finding that all six landed on TAILS?

• 1/12

• 1/36

• 1/30

• 1/64

A bag has 8 red marbles, 5 blue marbles, and 2 green marbles. Two marbles are removed from the bag blindly. What is the probability that one marble is red and the other one is green?

• 16/105

• 8/105

• 16/225

• 8/225

A standard deck of playing cards has a total of 52 cards, with 13 cards in each suit (hearts, spades, diamonds, and clubs). Find the probability that the first three cards dealt are all diamonds.

• about 0.0156

• about 0.0129

• about 0.0256

• about 0.0122

For Exercises 8 - 10, use the contingency table from the handout to determine the probability . . .

. . . a randomly selected conference attendee is a male between 30 - 49 years old.

• about 0.2674

• 0.56

• about 0.2617

• about 0.1497

For Exercises 8 - 10, use the contingency table from the handout to determine the probability . . .

. . . a randomly selected female conference attendee is between 18 - 29 years old.

• 0.6125

• 0.4375

• about 0.2620

• about 0.5989

For Exercises 8 - 10, use the contingency table from the handout to determine the probability . . .

. . . a randomly selected conference attendee is at least 50 years old or female.

• about 0.4652

• about 0.4278

• about 0.5615

• about 0.5134