Question

Find the sample space for tossing 4 coins. Then find P(exactly 2 heads).

Answer 1

3/8

Explanation:

The person up there answered it right they just went too high with the numbers.

Answer 2

6/16 or 0.375 ..

Explanation:

Each time the coin has two possible outcomes so tossing the coin four times

The sample space will be: 2^4 = 16

The sample space is: {HHHH, HTHH, THHH, HTHT , HHHT, HTTH, TTHH, THTH, HHTT, HHTH, TTTH, THHT ,HTTT, TTTT, TTHT, THTT}

Let A be the event that there are exactly two heads

A = {HTHT, HTTH, TTHH, THTH, HHTT, THHT}

n(A) = 6

So the probability of exactly two heads is:

P(A) = 6/16 or 0.375 ..