Question

If a card is picked up at random from a pack of 52 cards. Find the probability that it is a king or queen

Answer 1

Answer:

2/13

Step-by-step explanation:

The total number of cards is 52.

Total number of kings = 4/52

Total number of queens = 4/52

Therefore, probability of getting king or queen =4/52+4/52=8/52

                                                                           =2/13

Hope this helps you.

Answer 2

The probability of picking up a card is king or queen is $\dfrac{2}{13}$

Step-by-step explanation:

Total cards = 52

A: number of king = 4

B: Number of queen = 4

As we know

$P(E) = \dfrac{\text {Favourable outcomes }}{\text {Total outcomes }}$

$P(A) = \dfrac{4}{52} =\dfrac{1}{13}$

Similarly

$P(B) = \dfrac{4}{52} =\dfrac{1}{13}$

Now as A and b are disjoint

P(A∪B) = P(A)+P(B)

⇒P(A∪B) = $\dfrac{1}{13} +\dfrac{1}{13} =\dfrac{2}{13}$

Hence, the probability of picking up a card is king or queen is $\dfrac{2}{13}$

#Learn more

Find the probability that the card drawn is a king

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