you have a 50/50 chance me and my twin both had it and my 2 older brothers are fine 1 is a carrier and the other is not.
50%
50% then 25%
The probability of getting the first answer correct is 1/2 The probability of getting the first two correct is 1/2 * 1/2 = 1/(22) The probability of getting all 9 correct is 1/(29) = 1/512 which is just under 0.2%
The probability is 1/2 because the second outcome has no affect on the first outcome.
50%
The answer to this is 1 minus the probability that they will have 3 or fewer children. This would happen only if they had a boy as the first, second or third child. The probability they have a boy as first child is 0.5 The probability they have a boy as second is 0.25 The probability they have a boy as third is 0.125 Thus the total probability is 0.875 And so the probability they will have more than three children is 1-0.875 or 0.125
The conditional probability is 1/4.
13/204
The probability of getting two tails in the first two is 1/4. And it does not matter how many more times the coins are tossed after the first two tosses.
The probability of getting two hearts in a row: P(Getting a hearts on the first draw)*P(Getting another hearts given the first one was a hearts) The first probability is simple: there are 13 hearts in a deck of 52 cards. The probability is 13/52=1/4. The second probability is trickier: there are now 12 hearts left in a deck of 51 cards! The probability of getting another hearts is therefore 12/51=4/17. Now compute (1/4)*(4/17) and get 1/17, which is the probability of drawing two hearts from a deck of fifty-two playing cards.
The probability of getting a head first time is one out of two, or a half. The probability of getting a head the next time is still one out of two, so the combined probability is one quarter. Similarly, one eighth is the probability of getting three in a row; but the pattern does not end there, the probability of getting a tails the next time is STILL one in two, so that is a one in sixteen chance of that run, the probability of the entire sequence is therefore one in thirty-two.
Probability is a number in the range [0, 1]. The question gives a probability (240) which is way outside this range and so is not valid.