Question

The list below shows all of the possible outcomes for flipping four coins. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT What is the probability of getting the same number of heads and tails?

Answer 1

Answer:

3/8

Step-by-step explanation:

there are 6 outcomes with two heads and two tails, and 16 total outcomes. 6/16=3/8

Answer 2

The probability of getting the same number of heads and tails is 3/8

The sample space (S) is given as:

S = {HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT}

The outcomes (E) that the number of heads and tail are the same is

E = {HHTT HTHT HTTH THHT THTH TTHH}

The probability of getting the same number of heads and tails is then calculated as:

$Pr = \frac{n(E)}{n(S)}$

So, we have:

$Pr = \frac{6}{16}$

Simplify

$Pr = \frac{3}{8}$

Hence, the probability of getting the same number of heads and tails is 3/8

Read more about probabilities at:

https://brainly.com/question/8652467