Question

a fair coin is tossed two times in succession. the set of equally likely outcomes is {hh, ht, th, tt}. find the probability of getting exactly two heads.

the probability of getting two heads is
(type an integer or a simplified fraction.)

Explanation:

Step1: Count total outcomes

Total outcomes = 4 ({HH, HT, TH, TT})

Step2: Count favorable outcomes

Favorable outcome (exactly two heads) = 1 (HH)

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{4}$

Answer:

$\frac{1}{4}$