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TiliK225 [7]
4 years ago
8

The probability I take a nap today is 4/5. The probability I will take a nap and a bubble bath today

Mathematics
1 answer:
Natali [406]4 years ago
6 0

Use Bayes Theorem to compute that probability. I will denote bath as B and nap as N, the probability will be denoted as P(B) or P(N).

By Bayes Theorem

P(B\mid N)=\frac{P(N\mid B)\cdot P(B)}{P(N)}

Which reads,

"What is the probability of B given N".

We know that P(N\mid B) is 1 because we already took a bath. So the formula simplifies to,

P(B\mid N)=\frac{P(B)}{P(N)}

Now insert the data,

P(B\mid N)=\frac{1/5}{4/5}=\boxed{\frac{1}{4}}

So the probability that you will take a bath is 0.25 after you have taken a nap.

Hope this helps. :)

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