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).

Respuesta :

Answer:

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

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The probability that a randomly chosen client requested a haircut given that he has requested a permanent is 66.66%.

Given that a salon owner noted what types of services its clients requested last week, and the results were that 5% requested dye only, 30% haircut and dye, 35% haircut only, 10% hair cut and permanent, 5% permanent only, and 15% other, to find the probability that a randomly chosen client requested a haircut given that he has requested a permanent the following calculation must be performed:

All the options that include the perm must be added, and then establish through a cross multiplication the percentage of those options that include a haircut.

  • 10 (haircut and permanent) + 5 (permanent only) = 15
  • 15 = 100
  • 10 = X
  • 10 x 100/15 = X
  • 66.66 = X

Therefore, the probability that a randomly chosen client requested a haircut given that he has requested a permanent is 66.66%.

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