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Probability – Playing cards and a random card is drawn!

QNR 8. Bahdrak has a standard pack of 52 playing cards. He removes the king of clubs, the four of spades and all the aces. He then draws a card at random. Which of the following is it most likely to be?
1) a club
2) a king
3) a spade
4) a diamond

Ans:- Probability = Number of favourable cases/ Total cases

After removal of cards, total cards = 52 – 1 – 1 – 4 = 46, since the denominator is same for all we need to find the numerator for all the cases:

Number of clubs remaining: 13 – 1 (king) -1 (ace) = 11

Number of kings remaining: 4 – 1 (king) = 3

Number of spades remaining: 13 – 1 (spade) -1 (ace) = 11

Number of diamonds remaining: 13 -1 (ace) = 12

As evident from the above numbers, we can order the probability starting from maximum value as:

12, 11, 11, 3. Since we are looking for highest probability, answer option is (4). If the question was to find “most unlikely case”, the answer option would have been (2).

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