You want to determine the probability that in a family of 5 children, there will be more girls than boys. Which describes one trial of a simulation you could use to model this problem?
A.
Toss a coin 5 times and count the number of heads.
B.
Toss a 6-sided number cube 5 times and count the number of times you get a number less than 3.
C.
Generate 5 random numbers between 0 and 100 and count the number of prime numbers.
D.
Draw 5 cards at random from a standard 52-card deck, replacing each card after it is drawn and count the number of hearts. ( There are an equal number of hearts, spades, diamonds, and clubs in a deck.)----
Since the prob(boy) = 1/2
and prob(heads) = 1/2
tossing a coin 5 times would be a good model for the family problem
Thank you so much!!
D. Draw 5 cards at random from a standard 52-card deck, replacing each card after it is drawn and count the number of hearts. (There are an equal number of hearts, spades, diamonds, and clubs in a deck.)
To determine the probability that in a family of 5 children there will be more girls than boys, we need to simulate the scenario using a simulation model.
Option D describes a trial of a simulation that models the problem. In this trial, we draw 5 cards at random from a standard 52-card deck, replacing each card after it is drawn. We then count the number of hearts drawn. Since there are an equal number of hearts, spades, diamonds, and clubs in a deck, the probability of drawing a heart on each trial is 1/4.
By repeating this trial multiple times, we can simulate the scenario of having 5 children and determine how many times there are more girls (represented by drawing hearts) than boys. The results of these simulations can be used to estimate the probability of having more girls than boys in a family of 5 children.