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Q.

From a pack of cards, the following cards are kept face down.

What is the probability of Suhail winning if he picks up a face card? And Reshma wins, if she picks up a 4. What is the probability of Reshma winning?

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a

The probability of Suhail winning is

\frac{4}{15}

and Reshma winning is

\frac{4}{15}

.

b

The probability of Suhail winning is

\frac{3}{15}

and Reshma winning is

\frac{4}{15}

.

c

The probability of Suhail winning is

\frac{4}{15}

and Reshma winning is

\frac{3}{15}

.

d

The probability of Suhail winning is

\frac{2}{15}

and Reshma winning is

\frac{4}{15}

.

answer is A.

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Detailed Solution

Given cards are,
Question Image

Question Image

In the given cards,
Face cards = 1 Queen, 2 King,1 Jack.
Number of face cards = 4.
Total number of cards = 15.
Then total number of possible outcomes = 15.
Let, E = Event of getting a face card.
Then, number of outcomes favorable to E = 4.
Probability,

P (E) = Number of favourable outcomes Total number of outcomes

Then, probability of Suhail winning now when she picks up a face card

= 415

.
And
Number of 4 = 4.
Then, the number of favorable outcomes = 4.
Probability of Reshma winning when she picks up a 4 is

= 415

Therefore, probability of Suhail winning when he picks up a face card is

\frac{4}{15}

and the probability of Reshma winning when she picks up a 4 is

\frac{4}{15}

.
Hence, option (1) is correct.

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