From two full decks of cards all the face cards have been removed. Now, if two cards are drawn in random, what is the probability of getting both the cards with odd number serial? (Ace card is to be considered as a number card)
1. 35/158
2. 39/158
3. 41/158
4. 21/153
5. None of these
1. 35/158
2. 39/158
3. 41/158
4. 21/153
5. None of these
Correct Answer – Option 2 : 39/158
Given:
Total number of cards in two full deck cards = 2 × 52 = 104
Two cards are drawn at random.
Formula used:
Probability = Favorable outcome / Total outcomes
Calculation:
Total number of cards after the removal of all face cards = (104 – 2 × 4 × 3) = 80 [Each deck contains 4 × 3 = 12 face cards]
Total number of odd numbered cards = 40
Required probability = \({}_2^{40}C/{}_2^{80}C\) = (40 × 39)/(80 × 79) = 39/158