type the correct answer in the box. if necessary, use / for the fraction bar. you toss five fair coins. the…

Explanation:

Step1: Determine probability of one - coin toss

The probability of getting a head in a single fair - coin toss is $P(H)=\frac{1}{2}$.

Step2: Use the multiplication rule for independent events

Since the coin - tosses are independent events, the probability of getting heads in all $n = 5$ coin tosses is $P=\left(\frac{1}{2}\right)\times\left(\frac{1}{2}\right)\times\left(\frac{1}{2}\right)\times\left(\frac{1}{2}\right)\times\left(\frac{1}{2}\right)=\left(\frac{1}{2}\right)^5$.

Step3: Calculate the result

$\left(\frac{1}{2}\right)^5=\frac{1}{32}$.

Answer:

$\frac{1}{32}$