Step-by-step explanation:
Given
Alec has a 95% chance of passing
Joe has a 25% chance of passing
(a)Probability of passing both is
[tex]P=0.95\times 0.25=0.2375[/tex]
(b)Probability of both failing
[tex]P=(1-0.95)\cdot (1-0.25)=0.05\times 0.75\\P=0.0375[/tex]
(c)Joe Passes and Alec fails
[tex]P=(1-0.95)\cdot 0.25=0.05\times 0.25\\P=0.0125[/tex]
(d) Alec passes and Joe fails
[tex]P=0.95\times (1-0.25)=0.95\times 0.75\\P=0.7125[/tex]
