a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and dye, 35% haircut only, 10 % hair cut and permanent, 5% permanent only, and 15% other. Find the probability that a randomly chosen client requested a haircut given the requested a permanent. P (haircut l permanent).

Question

Molly Waters

Mathematics

3 May, 05:12

a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and dye, 35% haircut only, 10 % hair cut and permanent, 5% permanent only, and 15% other. Find the probability that a randomly chosen client requested a haircut given the requested a permanent. P (haircut l permanent).

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Damari Vazquez · Answer 1

2/3

Step-by-step explanation:

So we have 10%+5%=15% of clients under the condition "permanent", and we can find the probability that a client in that group requested a haircut:

P (haircut | permanent) = 10%/15%=2/3