SOLUTION: Four managers, five engineers and one lawyer are in a meeting when a message arrives for one of them. of these people, three managers, two engineers and the lawyer are women. find

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Question 423183: Four managers, five engineers and one lawyer are in a meeting when a message arrives for one of them. of these people, three managers, two engineers and the lawyer are women. find the probability of each of the following events:
A) The message is for a man.
B) The message is not for a male engineer.
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Four managers, five engineers and one lawyer are in a meeting when a message arrives for one of them. of these people, three managers, two engineers and the lawyer are women. find the probability of each of the following events:
A) The message is for a man.
There are 4 men and 6 women
P(msg for man) = 4/10
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B) The message is not for a male engineer.
There are 3 male engineers.
P(msg not for male engineer) = 7/10
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cheers,
Stan H.

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Always recommend sketching out the 'situation' for clarity
A) P(The message is for a man) = 4/10
B) P(The message is not for a male engineer) = 1-3/10 = 7/10

Manager Engineer Lawyer total
Female 3 2 1 6
Male 1 3 0 4
total 4 5 1 10