Question

a card is drawn from well shuffled pack of cards. calculate the probability for this card to be either a jack or a queen​

Answer 1

Answer:

2/13

Explanation:

The total number of jacks= 4

The total number of queens= 4

Therefore total number of favorable outcomes= 4+4 = 8

Total number of outcomes= Number of cards = 52

Therefore probability= favorable outcomes/total outcomes

                                  = 8/52

                                  = 2/13

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Answer 2

Required Solution:

A deck of cards contains 52 cards which include 13 cards each of Club , diamond , heart  and spade.

The 13 cards includes:

• A (Ace)

• 2

• 3

• 4

• 5

• 6

• 7

• 8

• 9

• 10

• J ( Jack)

• Q ( Queen)

• K ( King)

As the quantity of each card is 4 (no matters what's the symbol of card), Jack and Queen will also be 4.

So the possible outcomes will be 4+4=8

Total outcomes=52

$\underline{\boxed{\textsf{Probability of Jack or Queen=}\sf\dfrac{Possible\: outcomes}{Total\: outcomes}}}$

$\textsf{Probability of Jack or Queen=}\sf\dfrac{8}{52}$

$\textsf{Probability of Jack or Queen=}\sf\dfrac{\not 8}{\not 52}$

$\textsf{Probability of Jack or Queen=}\sf\dfrac{2}{13}$

So the required probability is 2:13.