The purchase of underwear and pants are found to be independent at a branch of Target located in the CBD. The probability that a customer will buy a set of pants is found to be 50% and the probability that a customer will buy a set of underwear is 40%. What is the probability that a customer will buy a set of pants and a set of underwear (round your answer to two decimal places)?
Question
The purchase of underwear and pants are found to be independent at a branch of Target located in the CBD. The probability that a customer will buy a set of pants is found to be 50% and the probability that a customer will buy a set of underwear is 40%. What is the probability that a customer will buy a set of pants and a set of underwear (round your answer to two decimal places)?
Solution
Since the purchase of underwear and pants are independent events, the probability of both events occurring is the product of their individual probabilities.
The probability that a customer will buy a set of pants is 50%, or 0.50 in decimal form.
The probability that a customer will buy a set of underwear is 40%, or 0.40 in decimal form.
So, the probability that a customer will buy both a set of pants and a set of underwear is 0.50 * 0.40 = 0.20, or 20% when rounded to two decimal places.
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