Answer:
3 / 1352 ; 1 / 442
Explanation:
Since it isn't stated if selection is done with replacement or not, we calculate the probability for the two scenarios :
Number of diamond face cards in a deck = 3
Number of black 2's in a deck = 2
Total number of catds in a deck = 52
Assume selection is done with replacement :
1st draw :
P(diamond face card) = 3 / 52 =
2nd draw :
P(black 2's) = 2 /52
P(1st draw) * P(2nd draw)
3/52 * 2 /52 = 6 / 2704 = 3 / 1352
Drawing without replacement :
P(diamond face card) = 3 / 52 =
2nd draw :
P(black 2's) = 2 /51
P(1st draw) * P(2nd draw)
3/52 * 2 /51 = 6 / 2652 = 1 / 442