Question

cards are drawn from pack and given that they are of different colour
one king and one Queen is​

Answer 1

Answer:

From a pack of 52 cards, 2 cards are drawn at random. What is the probability that one card iis a King and the other card is a Queen?

Assumptions

#(1) The pack is well-shuffled before any cards are drawn.

#(2) Both cards are drawn at exactly the same time by whatever method is used to ensure there is no time-gap between the drawing of each card.

Because there are 52 cards in a pack, the number of combinations of 2 cards from a 52 card pack is 52C2 or 1326 ways.

There are 4 Kings and 4 Queens in a pack, so there are 4C1 ways to select one King and 4C1 ways to select one Queen.

Therefore the Probability of selecting ONE KING AND ONE QUEEN from the pack of 52 cards is:

P (1 King + 1 Queen) =

= [(4C1)*(4C1)]/(52C2) which equals:

= [(4) * (4)]/1326

= 12.066 * (10)^-3

= 0.012066

= 1.2066%'’

If I liked to gamble I would suggest that the chances of winning a bet based on this probability are not very good!

PB

Thanks for A2A.

There are 52 cards in a pack out of which 4 kings and 4 queens are present.

Now, if we choose randomly 2 cards out of 52 i.e the possible ways are 52c2 which is equal to 1326.

And now out of 2 cards one is king i.e 4c1 ways and similarly one will be queen i.e 4c1 ways. So the total ways to have king and queen i.e 4c1 x 4c1 ways which is equal to 16.

So, the probability of getting one king and the other queen is, 16/1326 = 8/663.

Thanks.