a fair coin is tossed three times in succession. the set of equally likely outcomes is {hhh, hht, hth, thh…

a fair coin is tossed three times in succession. the set of equally likely outcomes is {hhh, hht, hth, thh, htt, tht, tth, ttt}. find the probability of getting exactly zero tails.\nthe probability of getting zero tails is \n(type an integer or a simplified fraction.)

a fair coin is tossed three times in succession. the set of equally likely outcomes is {hhh, hht, hth, thh, htt, tht, tth, ttt}. find the probability of getting exactly zero tails.\nthe probability of getting zero tails is \n(type an integer or a simplified fraction.)

Answer

Explanation:

Step1: Determine total outcomes

The set of all outcomes is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}, so the total number of outcomes $n(S)=8$.

Step2: Determine favorable outcomes

The event of getting exactly zero tails is the outcome {HHH}, so the number of favorable outcomes $n(E) = 1$.

Step3: Calculate probability

The probability formula is $P(E)=\frac{n(E)}{n(S)}$. Substituting the values, we get $P(E)=\frac{1}{8}$.

Answer:

$\frac{1}{8}$