Question

Riya and Priya are playing a card game. Riya asks Priya to pick two random cards from a deck of 52 cards without replacement. They have decided that if the cards drawn by Priya are black king and then red queen, then Priya will win; otherwise, Riya will win. So, what is the probability that Priya will win?​

Answer 1

Answer: 1/663

Step-by-step explanation:

Given :  There are 52 cards in the deck.

To Find :  Probability that Priya will win

Solution :

Number of black king in deck = 2

Number of red queen in deck = 2

The probability that the first card is a black king and the second card is a red queen =  $(\frac{2}{52} ) . (\frac{2}{51} )$  = 1/ 663

∴ Probability that Priya will win = 1/663

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