The sample space for tossing a coin 4 times is {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}.

Question

Determine P(3 tails).

8.5%
25%
31.25%
63.75%

Answer 1

To determine the probability of getting 3 tails when tossing a coin 4 times, we need to count the number of outcomes that have exactly 3 tails.

From the sample space above, we can see that there are 4 outcomes that have 3 tails: TTHH, THTH, HTTH, and HTHT.

Therefore, the probability of getting 3 tails is P(3 tails) = (Number of outcomes with 3 tails)/(Total number of outcomes) = 4/16 = 1/4 = 25%

So, the correct answer is 25%.