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

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

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

Answer

Explanation:

Step1: Identify total outcomes

The total number of outcomes in the sample - space is $n = 4$ (the set is ${HH, HT, TH, TT}$).

Step2: Identify favorable outcomes

The event of getting exactly zero tails means getting two heads. The favorable outcome is $HH$, so $m = 1$.

Step3: Calculate probability

The probability formula is $P=\frac{m}{n}$. Substituting $m = 1$ and $n = 4$, we get $P=\frac{1}{4}$.

Answer:

$\frac{1}{4}$