Ram speaks truth 40% of the time and lahsman speaks truth 60% truth of the time. percentage of case of raman and laxman to contradict each other in stating the same fact is.
Answers
Answer:
50% is the answer to the question. This is done by average
Answer:
In 52% of cases, they will contradict each other.
Step-by-step explanation:
Step 1:
"Ram" speaks truth in 40% of cases and "B" in 60% of cases.
Now,
Step 2:
P (A) = Probability that A speaks truth-
= 40/100
= 2/5
Step 3:
P (A') = Probability that A doesn't speaks truth-
= 1 - 2/5
= 3/5
Step 4:
P (B) = Probability that B speaks truth-
= 60/100
= 6/10
Step 5:
P (B') = Probability that B doesn't speaks truth-
= 1 - 6/10
= 4/10
It's clear that they will contradict each other when one says truth and the other not.
Step 6:
So,
P (A & B contradict each other)
=P (A).P (B') +P (B).P (A')
= 2/5 × 4/10 + 6/10 × 3/5
= 8/50 + 18/50
= 26/50
(We need 100 at denominator, so multiplied by two)
= 52/100
Step 6:
Hence, in 52% of cases, they will contradict each other.