Answer:
Step-by-step explanation:
Given that Laura and Phillip each fire one shot at a target, Laura has aprobability 0.5 of hitting the target, and Phillip has aprobability 0.3. The shots are independent.
a) Probability that the shot is hit
= P(either Laura hits)+P(Phillip hits) -P(both hit) (additional theorem of prob)
=0.5+0.3-0.5*0.3
= 0.8-0.15
=0.65
b) Probability that the target is hit by exactly one shot
=P(Only Laura hits)+P(Phillip only hits)
= P(Laura hits and Philip not hits)+P(Phillip hits and Laura hits)
=0.5(0.7)+(0.5)(0.3)
=0.5
c) Prob that Laura hit the target, given that the target was hit by exactly one shot
=0.35/0/5
= 0.7
