AMC12 Combinatorics and Probability 2

Question 1

What is C(8, 3)?

Accepted Answer

56

Answer

40

Answer

70

Answer

35

Question 2

In how many ways can the letters of 'LEVEL' be arranged?

Accepted Answer

30

Answer

60

Answer

20

Answer

120

Question 3

What is the probability that a card drawn from a standard 52-card deck is a face card or a heart?

Accepted Answer

11/26

Answer

25/52

Answer

22/52

Answer

9/26

Question 4

If P(A) = 0.4 and P(B) = 0.3 and A, B are independent, what is P(A ∩ B)?

Accepted Answer

0.12

Answer

0.58

Answer

0.70

Answer

0.07

Question 5

How many ways can 3 people be seated in a row of 5 chairs?

Accepted Answer

60

Answer

30

Answer

120

Answer

20

Question 6

A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?

Accepted Answer

5/16

Answer

1/4

Answer

3/8

Answer

1/8