A school has an equal number of boys and girls. You use a coin to simulate the first three students to arrive at school each day, where “heads” represents a boy and “tails” represents a girl. The table below shows a sample of 20 coin tosses
T H T
T T T
T H T
H T H
H H H
T T T
H T T
H H T
T H T
T T T
T T H
T H T
H H T
H H H
H T H
T H T
H H T
T T T
H H H
T H T
Find the experimental probability that the first three students to arrive at school are boys.
A. Start Fraction 3 over 20 End Fraction
B. one-fifth
C. start fraction 3 over 10 end fraction
D. one-fourth
The first three students arriving as boys can be represented by the outcome HHH. Looking at the sample of 20 coin tosses, we see that HHH occurs 3 times. Therefore, the experimental probability of the first three students arriving as boys is:
3/20
So the answer is A. Start Fraction 3 over 20 End Fraction.