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

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

• 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

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

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

$\sf{Probability\: of\:Jack\:or\: Queen=\dfrac{\not8}{\not{52}}}$

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

So the required probability is 2:13.