The probability of drawing a heart in a single random draw from a normal deck of playing cards and rolling a 4 on a fair number cube is:
1/4*1/6 = 1/24
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Probability of drawing a heart: 1/4 Probability of drawing a club: 1/4 Probability of drawing a heart or a club: 1/4 + 1/4 = 2/4 = 1/2
The probability of drawing a red heart is 1 in 4. This is the same as the probability of drawing a heart, as red is included as a superset of hearts.
The probability of drawing a heart from a fair deck is 1 in 4. If the card is replaced then the probability is again 1 in 4. The probability of drawing a card other than a heart is 3 in 4. Once again if the card is replaced then the probability remains 3 in 4
Number of cards in a deck = 52 Number of cards that are heart = 13 Therefore number of cards that are not heart = 52-13 = 39 Probability of not drawing a heart = 39/52 or 3/4
The probability of drawing a heart is 13 in 52 or 1 in 4. The probability of drawing a 9 is 4 in 52 or 1 in 13. The probability of drawing a heart or a 9 is (13 + 4 - 1) in 52, with the -1 required because the 9 of hearts intersects the solution set. (13 + 4 - 1) in 52 is 16 in 52, which is 4 in 13, or about 0.3077.