Sum of all probabilities is 1.
The sum of the probabilities of all possible outcomes is 1.
The fact that probabilities are proportions means that they are less than or equal to 1.
Yes
There are not just 4 probabilities. Probability is a continuous variable ranging from 0 to 1: it can take infinitely many values.There are not just 4 probabilities. Probability is a continuous variable ranging from 0 to 1: it can take infinitely many values.There are not just 4 probabilities. Probability is a continuous variable ranging from 0 to 1: it can take infinitely many values.There are not just 4 probabilities. Probability is a continuous variable ranging from 0 to 1: it can take infinitely many values.
Yes, two probabilities.
Such probabilities are impossible to calculate exactly or even approximately. However bookmakers will quote you odds if you wish to bet. They will base their odds on how each team is presently playing and their current records.
This is one of those really weird English sayings. I'm going to go out on a limb and claim that no one, ever, under any circumstances, "beats" the odds. Whatever we do, or whatever happens to us, the event is associated with some probability on some level. We may do many things to affect or change the probabilities, ranging from out-and-out cheating to all kinds of legitimate steps to improve the odds, but whatever happens next can be analyzed in terms of the actual remaining probabilities. If I have manipulated a situation in such a way that an outcome is certain, then I haven't "beaten" the odds, I have taken action to see that the odds are "one in one". If a rare event occurs, (winning a lottery), I haven't "beaten the odds", it's simply a matter of events unfolding as they did. Or.. It could mean:
The odds of being dealt AK in Texas Hold'em is computed as follows:The first card can be either an A or a K, a total of 8 possible cards out of 52 cards in the deck. So, the probability is 8/52 = .153846.If you get an A on your first card, there are 4 Ks; if you get a K on your first card, there are 4 As. So in either case, if you get an A or a K on your first cards, there are 4 possible cards out of the remaining 51 cards that will make the AK hand, which is a probability of 8/51 = .078431Now, multiply two probabilities and you have .0121.To convert from probabilities into odds, divide the probability by (1 - probability). So, .0121 / (1 - .0121) = about 82 to 1.
If one is expecting twins and is wanting to know the odds of twins being two girls the probabilities are that one would have about a 25% chance. It is stated that there is a 50% chance of having one of each or a 25% chance of having twin boys.
This is one of those really weird English sayings. I'm going to go out on a limb and claim that no one, ever, under any circumstances, "beats" the odds. Whatever we do, or whatever happens to us, the event is associated with some probability on some level. We may do many things to affect or change the probabilities, ranging from out-and-out cheating to all kinds of legitimate steps to improve the odds, but whatever happens next can be analyzed in terms of the actual remaining probabilities. If I have manipulated a situation in such a way that an outcome is certain, then I haven't "beaten" the odds, I have taken action to see that the odds are "one in one". If a rare event occurs, (winning a lottery), I haven't "beaten the odds", it's simply a matter of events unfolding as they did. Or.. It could mean:
I do not add probabilities to anybody!
Empirical probabilities.
Sum of all probabilities is 1.
The odds of matching all 5 numbers plus the Powerball are approximately 1 in 175,223,510.00. Powerball started in 1992, replacing the game Lotto*America.
John B. Walsh has written: 'Knowing the odds' -- subject(s): Probabilities, Probability theory and stochastic processes -- Instructional exposition (textbooks, tutorial papers, etc.).
I assume the probability is given a percent, or as odds, i.e. there's a 20% chance or 1 in 5 chance. You convert a percent by dividing by 100, 20% = 0.20, you convert odds by dividing the first number by the second, ie: 1/5 = 0.20.