SOLUTION: Mr. Ron Motti runs a small but exclusive dree shop for women. From his experience in the busienss, he estimates the probablility that a woman enterning the shop will make a purchas

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Question 357882: Mr. Ron Motti runs a small but exclusive dree shop for women. From his experience in the busienss, he estimates the probablility that a woman enterning the shop will make a purchase in 0.70. At present there are two women in the store
1. What is the probability tht both women make a purchase?
What is the probalility that at least one of the women will make a purchase?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of one woman making a purchase is equal to the probability of the first purchasing, second not plus the probability of the second purchasing, the first not plus the probability of both purchasing.
P=%280.7%29%280.3%29%2B%280.3%29%280.7%29%2B%280.7%29%280.7%29
P=2%280.21%29%2B0.49
P=0.42%2B0.49
P=0.91
We could have also worked it backwards.
The probability also that at least 1 women purchased plus the probability that neither purchased equals 1.
P%28p%29%2BP%28np%29=1
P%28np%29=%280.3%29%280.3%29=0.09
P%28p%29=1-P%28np%29
P%28p%29=1-0.09
P%28p%29=0.91