Question

The Probability that A speaks truth is `3/4` and that of B is `4/5`. The probability that they contradict each other in stating the same fact is p, then the value of 40p is ______.

Options

• 12.00

• 13.00

• 14.00

• 15.00

Answer 1

The Probability that A speaks truth is `3/4` and that of B is `4/5`. The probability that they contradict each other in stating the same fact is p, then the value of 40p is 14.00.

Explanation:

If A and B contradict each other 

Then p = `P(AbarB + barAB) = P(AbarB) + P(barAB)`

= `P(A).P(barB) + P(barA)P(B)`

= `3/4 . 1/5 + 1/4 . 4/5`

= `7/20`

∴ 40p = 14