9. Find the sample space for tossing 4 coins. Then find P(exactly 1 head).

Question

5/16

3/16

1/4

1/8

Answer 1

Sample space for tossing 4 coins:
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT

There are a total of 16 possible outcomes.

P(exactly 1 head):
There are 4 outcomes where exactly 1 head appears (THHH, HTHH, HHTH, HHHT).

Probability = Number of favorable outcomes / Total number of outcomes
Probability = 4/16
Probability = 1/4

Therefore, the answer is 1/4.