Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the well shuffled . One card is selected from the remaining cards. FInd The Probability of getting

1. a heart
2. a king
3. a club
4. the '10' of hearts

Answer 1

Total number of cards in a deck = 52
when THREE cards are removed from the deck then total number of cards left = 49
total possible outcomes = 49
(1). no. of hearts in the deck = 13
no. of favorable outcomes = 13
$\mathrm{required}\mathrm{probability}=\frac{\mathrm{no}.\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{possible}\mathrm{outcomes}}=\frac{13}{49}$
(2). no. of kings = 3
no. of favorable outcomes = 3
$\mathrm{required}\mathrm{probability}=\frac{\mathrm{no}.\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{possible}\mathrm{outcomes}}$
required probability = 3/49

(3). no. of clubs = 10
no. of favorable outcomes = 10
$\mathrm{required}\mathrm{probability}=\frac{\mathrm{no}.\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{possible}\mathrm{outcomes}}$
required probability = 10/49

(4). number of '10' of Hearts = 1
no. of favorable outcomes = 1
$\mathrm{required}\mathrm{probability}=\frac{\mathrm{no}.\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{possible}\mathrm{outcomes}}$
required probability = 1/49