Of 26 black cards, 2 are aces... 1 in 13, or ~7.7%.
It is 6/26 = 3/13
1/25
The answer is 1:13
100%
It is 3/13, and the colour of the suit is irrelevant.
It is 6/26 = 3/13
This is a conditional probability, given the card is red, what is the chance it is a heart. Since there are 2 red hearts, the probability if 1/2
The probability of getting on the first draw a black ball is: P(B1) = 3/7. The probability of getting a red ball given the event of drawing a black ball on the first draw is: P(R2│B1) = 4/6. The probability of drawing a black ball on the first draw and a red ball on the second draw is: P(B1UR2) = P(B1)∙P(R 2│B1) = (3/7)∙(4/6) = 0.2857... ~ 0.286 ~ ~ 28.6%
Given the way you have worded the question I take it to mean, what is the probability of drawing at least one spade?We can do this most easily by asking first, what is the probability of drawing no spades on each of the 80 times. This is 39/52. The probability of doing this 80 times is (39/52)80.Then the probability of not doing this is 1 - (39/52)80, which is quite close to one. The probability of drawing at least one spade is almost one.
It is 156/663 = 0.2353, approx.
1/25
Aprox. 0.018%There are 4 queens in a regular deck of 52 cards.The probability of drawing a queen on the first draw is: P(Q1) = 4/52.The probability of drawing a queen on the second draw given that the first card wasa queen is: P(Q2│Q1) = 3/51.The probability of drawing a queen on the third draw given that the first two cardswere queens is: P(Q3│(Q2UQ1)) = 2/50.The probability of drawing 3 queens on the first 3 cards drawn from a deck of cardsis: P(Q1UQ2UQ3) = (4/52)∙(3/51)∙(2/50) = 1.80995... x 10-4 ≈ 0.00018 ≈ 0.018%
"Neither card is red" is the same as "both cards are black". The probability that the first card is black is 26 out of 52, or 1/2. Given that the first card is black, there are 51 cards remaining, of which 25 are black; thus the conditional probability that the second card is also black is 25/51. The probability that both cards are black is the product of these two probabilities: 1/2 * 25/51 = 25/102, or about 24.51%.
Given that it is a king, the probability that it is a face card is 100%. All Kings are face cards.
100%
The answer is 1:13
It is 3/13, and the colour of the suit is irrelevant.