Question

The probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. If the probability that a student owns both is 0.55, find the probability that a student owns a laptop or a desktop.

Answer 1

The probability that a student owns a laptop or a desktop is 92%.

Explanation:

We are given that the probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. The probability that a student owns both is 0.55 .

And we have to find the probability that a student owns a laptop or a desktop.

Let the probability that a student owns a laptop = P(L) = 0.82

The probability that a student owns a desktop = P(D) = 0.65

The probability that a student owns both laptop and desktop = P(L
`\bigcap` D) = 0.55

Now, the probability that a student owns a laptop or a desktop is given by = P(L
`\bigcup` D)

P(L
`\bigcup` D) = P(L) + P(D) - P(L
`\bigcap` D)

= 0.82 + 0.65 - 0.55

= 0.92 or 92%

So, the probability that a student owns a laptop or a desktop is 92%.