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POOL DECK A pool contractor noticed that 70% of his customers requested some sort of work on a pool, while 40% requested some sort of work on a pool deck. Let us consider that requests for work on pools and requests for work on decks are independent of each other. What is the probability that a randomly selected customer requested work on both a pool and a deck

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MrRoyal

Answer:

[tex]P(Pool\ and\ Deck) = 0.28[/tex]

Step-by-step explanation:

Given

[tex]P(Pool) = 70\%[/tex]

[tex]P(Deck) = 40\%[/tex]

Required

Determine P(Pool and Deck)

Since both are independent.

[tex]P(Pool\ and\ Deck)[/tex] is calculated as thus:

[tex]P(Pool\ and\ Deck) = P(Pool) * P(Deck)[/tex]

[tex]P(Pool\ and\ Deck) = 70\% * 40\%[/tex]

[tex]P(Pool\ and\ Deck) = 0.28[/tex]

Hence, the probability is 0.28

The probability that a randomly selected customer requested work on both a pool and a deck is 28%.

Calculation of the probability:

Since A pool contractor noticed that 70% of his customers requested some sort of work on a pool, while 40% requested some sort of work on a pool deck.

So here the probability should be

= 70% of 40%

= 28%

hence, the probability is 28%

Learn more about probability here: https://brainly.com/question/3974756

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