2 cards are drawn from a pack of 52 cards. what is the probability that atleast one of them is a king
Answers
Step-by-step explanation:
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
If I liked to gamble I would suggest that the chances of winning a bet based on this probability are not very good!
Hope it is helpful