+8 You draw a card from a standard deck of 52 cards, replace it, and draw another card. Find each probability. (Enter your probabilities as fractions.)
(a) P(jack and then red)
(b) P(red and then diamond)
(c) P(three and then face card)
(d) P(ace of hearts and then eight)
+128473 (a) P(jack and then red)
There are 4 jacks and 26 reds
The probability = 4/52 * 26/52 = 1/13 * 1/2 = 1 / 26
(b) P(red and then diamond)
We have 26 reds and 13 diamonds
Probability = 26/52 * 13/52 = 1/2 * 1/4 = 1 / 8
(c) P(three and then face card)
The are 4 threes and 12 face cards
The probability = 4/52 * 12/52 = 1/13 * 3/ 13 = 3 / 169
(d) P(ace of hearts and then eight)
We have 1 ace of hearts and 4 eights
The probability = 1/52 * 4/52 = 1/52 * 1/13 = 1 / 676
