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 zero tails. the probability of getting zero tails is \\(\square\\). (type an integer or a simplified fraction.)

Explanation:

Step1: Identify favorable outcomes

We need exactly zero tails, which means both tosses are heads. The favorable outcome is {HH}. So number of favorable outcomes, \( n = 1 \).

Step2: Identify total outcomes

The set of all outcomes is {HH, HT, TH, TT}, so total number of outcomes, \( N = 4 \).

Step3: Calculate probability

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{n}{N}=\frac{1}{4} \).

Answer:

\(\frac{1}{4}\)