Probability of drawing a 7 or 9 is the probability of draw a 7 plus the probability of draw a 9 which is 4/52 + 4/52 = 8/52 = 2/13 = 0.1538.
8 out of 32
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.
The answer is dependent on whether of not you replace the marbles in the jar. If you do, the probability of drawing a red marble is 9 in 15 or 60%, every time. If you do not replace the marbles, the probability of drawing a red marble is 2 in 8 or 25%.
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
Probability of drawing a 7 or 9 is the probability of draw a 7 plus the probability of draw a 9 which is 4/52 + 4/52 = 8/52 = 2/13 = 0.1538.
8 out of 32
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.
If you draw 9 or fewer cards, the probability is 0. If you draw 10 or more card, the probability is 1.
It is 18/52 = 9/26
4/52 or 1/13 or 0.0769.
The probability of drawing 3 cards, all with the value of 9, from a standard 52 card deck, is ~0.018%.
The answer is dependent on whether of not you replace the marbles in the jar. If you do, the probability of drawing a red marble is 9 in 15 or 60%, every time. If you do not replace the marbles, the probability of drawing a red marble is 2 in 8 or 25%.
There are four 9's and four jacks. If you can use all of them, you can use 8 out of 52 cards. The probability of drawing one of these cards is therefore 8/52 = 0.1538 or a 15.38 % chance.
19
Let's call the chance of drawing a 9 on the first draw P(A). Since there are four 9s, P(A) is 4/52. Probability of not drawing a 9 is 1-(4/52). Each draw is independent so we multiply the probabilities. The probability of EXACTLY one 9 in two draws if P(A)P(1-A)=12/169 which is a about .071
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