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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

What is the probability that if you roll the dice youll get the number 3?

There are 6 numbers on a die. Therefore there are 6 possible numbers that can be rolled. "3" is one of those numbers. The odds are therefore 1/6.

What sample size is needed to disprove the hypothesis that the probability of outcome A equals 0.25?

The answer depends on what population characteristic A measures: whether it is mean, variance, standard deviation, proportion etc. It also depends on the sampling distribution of A.

Suppose you roll one die what is the probability of rolling an even number?

As there are an equal number of odd and even numbers on a single die, the odds of rolling an even number would be 50/50.

How does a 13-year-old girl get a job without getting it from her parents in the UK?

Baby sitting is wonderful. Print out a aplication about yourself and put it in various mailboxes. YOU WILL GET CALLS IN NO TIME! Some more ideas are dog walking, car washing, paper round etc....

Does a thirty percent chance of rain really mean it will rain?

A thirty percent chance is a low probability, so it probably won't rain, but it could.

Two standard dice are rolled Let A be the event that the first die lands on a number less than 4 Let B be the event that the second die lands on 5?

The first event is Less than 4, which is either 1, 2, or 3. The probability of this is 1/2.

The second event is die number = 5. The probability of this is 1/6.

Multiply the two probabilities together: (1/2)*(1/6) = 1/12 (about 8.33 % chance).

What is the probability of being dealt exactly one Ace and no face cards in a five card poker hand?

It's the sum of the following probabilities:

(4/52) * (36/51) * (35/50) * (34/49) * (33/48) = 1.81%

(36/52) * (4/51) * (34/50) * (33/49) * (32/48) = 1.66%

(36/52) * (35/51) * (4/50) * (33/49) * (32/48) = 1.71%

(36/52) * (35/51) * (34/50) * (4/49) * (32/48) = 1.76%

(36/52) * (35/51) * (34/50) * (33/49) * (4/48) = 1.81%

total = 8.75%

Who is elder in fraternal twins?

They are rarely, if ever, delivered at the same time. So the one who is delivered first is the elder.

Has anyone scored two holes in one in one round of golf?

I don't think so because there arn't any two in a row par threes from what I know. EXTREMELY RARE that someone holed in one in a par four because they cant make it even though Tiger Woods once did.

There are tokens numbered from 1 to 100 In how many ways can the tokens be drawn simultaneously so that the sum of two tokens exceed 100?

Drawing two tokens simultaneously is the same as drawing the first and then the second WITHOUT replacing the first. So let the first and second numbers be m and n, and you want m+n > 100. The solution needs to be broken down into two subsets: Subset 1: m <= 50 Then n = 101 - m and n > 50 so there is no possibility of n = m Subset 2: m > 50 Now there are 101 - m ways, but in each case m and n can be equal. So, in fact, there are 101 - m - 1 ways. Combining the two stages, In general, there are 101 - m ways but from subset 2, 50 of these are to be rejected (n=m). Sum this over m = 1 to 100 [My inability to use the sigma notation is causing me some difficulty here.] = 101*100 - (1+2+...+100) - 50 = 101*100 - 101*50 - 50 = 101*50 - 50 = 5050 - 50 = 5000

How large does a population sample need to be?

The answer depends on various factors. Some of these are:

  • resource limitations (people, time, costs)
  • variability of the characteristic of interest
  • how accurate the results need to be (consequences of making incorrect decision based on testing your hypothesis).

When drawing a card from a deck the Pking and hearts is?

The probability that a single card, drawn at random, from a normal deck of cards is a king and hearts is 1/52.

What is the probability of tossing exactly three tails?

well it depends on what you are tossing, if its a coin then no. it can be heads too. it would have to be a great coincidence for it to be all tails, but thats why the word probability comes in meaning that there is more than one outcome

What is the chance of having 5 girls in a row?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes. Also, the answer will depend on how many children there are in total.

Is Inferential statistics based on probability theory?

Yes; the p value used in hypothesis testing is probability. See the related link.