1383400691 Find the experimental probability that 3 of 4 children in a family are boys. The problem has been simulated by tossing 4 coins (one to represent each child). Let &quo…

Question

1383400691

Find the experimental probability that 3 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 1

To find the experimental probability that 3 of 4 children in a family are boys, we need to count the number of times we get 3 heads (representing boys) out of 4 coin tosses. From the sample of 20 coin tosses, we can see that there are 6 instances where we get 3 heads:

HTHH, HTTH, TTHH, THTH, HTHH, and HTHH

Therefore, the experimental probability of getting 3 boys out of 4 children in a family is

6/20 or 0.3 or 30%.