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skelet666 [1.2K]
3 years ago
6

Use the equation P(A or B)= P(B)-P(A and B) to find the missing value below.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

P(B) = \frac{7}{8}

Step-by-step explanation:

Given

P(A or B)= P(B)-P(A and B)

P(A)=1/3

P(A and B)=1/8

P(A or B)= 3/4

Required

Find P(B)

To find P(B), all we need to do is to substitute values of P(A or B) and P(A and B) in the given equation.

This goes thus;

P(A or B) = P(B) - P(A and B) becomes

\frac{3}{4} = P(B) - \frac{1}{8}

Make P(B) the subject of formula

P(B) = \frac{3}{4} + \frac{1}{8}

Take L.C.M

P(B) = \frac{6 + 1}{8}

Add fractions

P(B) = \frac{7}{8}

From the workings above, the value of P(B) using the given equation is \frac{7}{8}

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