What are the odds of shuffling a deck into order

Asked by admin @ 28/10/2021 in Mathematics viewed by 179 People

A standard deck of 52 playing cards consists of four suits (hearts, spades, diamonds and clubs). Spades and clubs are black while hearts and diamonds are red. Each suit contains 13 cards, each of a different rank: an Ace (which in many games functions as both a low card and a high card), cards numbered 2 through 10, a Jack, a Queen and a King. Suppose we draw one card from a standard deck. What is the probability that we get a red card or a King

Answered by admin @ 28/10/2021

Answer: Hello there!

in a deck of 52 cards, you have 26 red cards and 4 kings, where 2 kings are also red cards, so we could discard them.

We want to know the probability of drawing a red card or a king whem we draw at random, then all the cards have the same probability. This is the quotient between the number of red cards or kings and the total number of cards:

p = 26/52 + 2/52 = 28/52 = 0.48

then you have a 0.48 (or 48%) probability to get a red card or a king.

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