You ip a coin three times a What is the probability of getti

You ip a coin three times. (a) What is the probability of getting heads on only one of your ips? (b) What is the probability of getting heads on at least one ip?

Solution

Flipping a coin three times gives the possibities are 2^3 is 8
or three tosses of the coin all the possible outcomes are:
.
H-H-H
T-H-H
H-T-H
H-H-T
T-H-T
T-T-H
H-T-T
T-T-T

(a) What is the probability of getting heads on only one of your ips?
Possible are = T-H-T, T-T-H, H-T-T = 3
P(heads on only one of your ips) = n(a)/n(s) = 3/8 = 0.375

(b) What is the probability of getting heads on at least one ip?
Possible are = H-H-H , T-H-H, H-T-H, H-H-T,T-H-T,T-T-H,H-T-T = 7

P(heads on at least one ip) = n(a)/n(s) = 7/8 = 0.875