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What is the probability of having 3 male offspring in a row?
There are factors such as genetic tendencies, age etc which favour male or female offspring so that the probability of a male offspring is not uniformally 1/2. Next, the question does not specify how many offspring in all, so the possible sequences could be [any sequence whether or not containing MMM] followed by [MMM] followed by [any sequence whether or not containing MMM]. As the sequence grows longer, the probability that somewhere in the sequence there are 3 male offspring in a row increases. For 3 offspring, the probability is 1/8 = 0.125 for 8 offspring, the probability is 107/256 = 0.418 The probabilities would need to be weighted together using the proportion of families that have 3 children, 4 children, and so on.
What is the PH H H T on four flips of a coin?
Assuming the coin is fair, the probability of that sequence is 1/16. The probability of three H and one T, in any order, is 1/4.
What is the probability of getting a run of three consecutive heads before a run of two consecutive tails when tossing a fair coin over and over?
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.
What does mode mean in algebra?
If you're talking with probability then it's the middle number of a sequence. Eg ( 2 3 4 5 6 7)- The mode is 4.
What Key word do you associate with sequence of events and what rules of probability do you use?
The key word that I use is causality. However, you cannot use probability to determine causality. Even if two events are highly correlated, probability theory cannot tell whether event A is caused by event B, or event B is caused by event A, or that both are caused by some third event that is not even part of the study.
