find the experimental probability that only 2 of 4 children in a family are boys. the problem has been…

find the experimental probability that only 2 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 only 2 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: Count favorable outcomes

Count the number of coin - toss results with 2 heads (boys). By inspection, the results with 2 heads are: HTTH, HHTT, HTHT, TTHH, HTHT, TTHH, HTHT. There are 7 such results.

Step2: Calculate experimental probability

The experimental probability $P$ is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. The total number of coin - tosses (outcomes) is $n = 20$. So, $P=\frac{7}{20}$. To convert to a percentage, we use the formula $\text{Percentage}=P\times100%$. $\text{Percentage}=\frac{7}{20}\times100% = 35%$.

Answer:

35%