find the experimental probability that 4 of 4 children in a family are boys. the problem has been simulated…

find the experimental probability that 4 of 4 children in a family are boys. the problem has been simulated by tossing 4 coins (one to represent each child). let \heads\ represent a boy and \tails\ represent a girl. a sample of 20 coin tosses is shown. hthh htth tttt thtt htht hhtt hhht thht htth tthh httt htht tthh thth hthh ttht httt htht hhht hhhh experimental probability = ?%

find the experimental probability that 4 of 4 children in a family are boys. the problem has been simulated by tossing 4 coins (one to represent each child). let \heads\ represent a boy and \tails\ represent a girl. a sample of 20 coin tosses is shown. hthh htth tttt thtt htht hhtt hhht thht htth tthh httt htht tthh thth hthh ttht httt htht hhht hhhh experimental probability = ?%

Answer

Explanation:

Step1: Identify favorable outcomes

Count the number of times 'HHHH' appears. It appears 1 time.

Step2: Calculate experimental - probability

The experimental probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}$. Here, the total number of trials is 20. So $P = \frac{1}{20}$.

Step3: Convert to percentage

To convert the fraction to a percentage, multiply by 100. $\frac{1}{20}\times100 = 5$.

Answer:

5%