Aleah asked in Science & MathematicsMathematics · 4 weeks ago

Statistic's Help?

If A and B are independent events and P(A)=0.25 and P(B)=0.333, what is the probability Probability of A and B.?

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• Anonymous
3 weeks ago

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• 4 weeks ago

With two independent events, the probability of two events happening together is the product of their individual probabilities:

Example:

Flip 2 coins, probably of both being heads?

Possible outcomes are:

HH

HT

TH

TT

so 1/4, right?

Now to do it with math, probability of a head is 1/2, so multiply that by the other 1/2 to get:

1/2 * 1/2 = 1/4

We get the same thing.

P(A) = 0.25

P(B) = 0.333

so:

P(A and B) = P(A) * P(B)

P(A and B) = 0.25 * 0.333

P(A and B) = 0.08325