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Q.

The queen, the king and the jack of diamonds are removed from a deck of 52 playing cards and the pack is well-shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of a jack

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a

\frac{5}{49}

b

\frac{3}{49}

c

\frac{4}{49}

d

\frac{12}{49}

answer is B.

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Detailed Solution

As we know that,
Probability

= \frac{No . of favorable outcomes}{Total no . of outcomes}

From the question we have,
A deck has a total 52 numbers of cards. Now, King, queen and jack of diamonds are removed from a deck of 52 playing cards.
So, Total number of outcomes = 52 – 3 = 49,
There are 4 jacks in a deck. After removing a jack of diamond we left with 3 Jacks.
Number of favorable outcomes = 3
Probability

= \frac{No . of favorable outcomes}{Total no . of outcomes}

= \frac{3}{49}

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