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Sagot :

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]