Question

Question #055e6

Answer 1

P(getting an ace) = `1/13`
P(getting a face card) = `3/13`
P(getting a red card) = `1/2`
P(getting a king) = `1/13`

Explanation:

Since there are 4 aces in a deck of 52 cards,
P(getting an ace) = `4/52`
When we simplify this we get,
P(getting an ace) = `1/13`

Since there are 12 face cards (the king, queen and jack for all four shapes)
P(getting a face card) = `(4*3)/52` = `12/52`
When we simplify this we get,
P(getting a face card) = `3/13`

Since there are two shapes that would be red (the heart and the diamond),
P(getting a red card) = `(2*13)/52` = `26/52`
When we simplify this we get,
P(getting a red card) = `1/2`

Since there are 4 kings in a deck of 52 cards,
P(getting a king) = `4/52`
When we simplify this we get,
P(getting a king) = `1/13`