Question

A card is drawn at random from a well shuffled pack of 52 playing cards.
Find the probability of getting neither red card nor a queen.
6.
[CBSE 2016]​

Answer 1

Step-by-step explanation:

There are 26 red cards in a deck of

52 cards.

• Number of queens in a deck

=4 cards.

• In which, 2 queens are black and 2 are red.

Now,

number of card which are neither red nor queen

=52–(26+2)=24.

Therefore,

• probability of getting a red card nor a queen -

$\implies{ \frac{24}{52} } \\ \\ \red{ = \frac{6}{13} }$

Answer 2

Total number of Outcome (Cards) = 52

First eliminate half the deck, so as to get rid of the red cards. This leaves,

1/2 × 52 = 26 Cards

However, two queens were already gotten rid of when all the red cards were removed, leaving only two black queens.

Thus, we take two black queens away from our remaining cards, 

26 - 2 = 24

∴ Number of Favourable Outcomes = 24

P(getting neither a Red nor a Queen) = 24/52

                                                            = 6/13

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