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A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A.

45%

B.

40%

C.

35%

D.

30%

Answer with explanation

Answer: Option CExplanation

Let A = Event that A speaks the truth

B = Event that B speaks the truth

Then P(A) = 75/100 = 3/4

P(B) = 80/100 = 4/5

P(A-lie) = 1-3/4 = 1/4

P(B-lie) = 1-4/5 = 1/5

Now

A and B contradict each other =

[A lies and B true] or [B true and B lies]

= P(A).P(B-lie) + P(A-lie).P(B)

[Please note that we are adding at the place of OR]

= (3/5*1/5) + (1/4*4/5) = 7/20

= (7/20 * 100) % = 35%

Workspace

A.

4/25

B.

8/25

C.

2/25

D.

1/25

Answer with explanation

Answer: Option CExplanation

Workspace

In a throw of dice, what is the probability of getting number greater than 5

A.

1/5

B.

1/2

C.

1/6

D.

1/3

Answer with explanation

Answer: Option CExplanation

Number greater than 5 is 6, so only 1 number

Total cases of dice = [1,2,3,4,5,6]

So probability = 1/6

Workspace

If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is –

A.

4/13

B.

5/13

C.

19/52

D.

17/52

Answer with explanation

Answer: Option AExplanation

P(SᴜK) = P(S) + P(K) – P(S∩K), where S denotes spade and K denotes king.

P(SᴜK) = 13/52 + 4/52 – 1/52 = 4/13

Workspace

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