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A recent iPad survey reported that 48% of users utilized game apps daily, 34% used an electronic book app daily, and 58% had used the game apps or the electronic book apps on a daily basis. What is the probability that a randomly selected iPad user will use both apps on a daily basis?

Respuesta :

MrRoyal

Answer:

[tex]P(Both) = 26\%[/tex]

Explanation:

Given

[tex]Game\ Apps = 48\%[/tex]

[tex]Electronic\ Book\ Apps = 34\%[/tex]

[tex]Either = 58\%[/tex]

Required

Determine the probability that a user will use both

Represent this probability with P(Both)

In probability:

[tex]P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)[/tex]

In this case, we have:

[tex]P(Both) = P(Game\ Apps) + P(Electronic\ Book)-P(Either)[/tex]

This gives:

[tex]P(Both) = 48\% + 34\% - 58\%[/tex]

[tex]P(Both) = 26\%[/tex]

Hence, the probability that a user uses both apps is 26%

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