Question

If A and B are independent events with P(A)=0.65 and P(A and B)=0.26, then, P(B)=

Answer 1

Answer:

P(B) = 0.4

Step-by-step explanation:

Since A and B are independent, this means that

     P( A and B ) = P(A) × P(B)

So

    0.26 = 0.65 × P(B)

⇒ P(B) = 0.26 / 0.65 = 0.4

[ For the final calculation without a calculator:

  0.26 / 0.65  =  26 / 65  =  ( 2 × 13 ) / ( 5 × 13 )  =  2 / 5  =  0.4 ]

Hope this helps!

Answer 2

P(B) = 0.4

Since A and B are independent, this means that

P(A and B) = P(A) × P(B)

therefore,

0.26 = 0.65P(B)

⇒ P(B) = 0.26/0.65 = 0.4

[For the final calculation without a calculator:

0.26/0.65=26/65=(2 × 13)/(5 × 13) = 2/5 = 0.4]

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