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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

How many spades appear on the ace of spades in a standard deck of cads?

There is one large spade in the middle. And one spade below each A on the card. So there are three spades.

What are the odds of rolling a four on one die?

Since there are six sides on a die, the odds of rolling a 4, or any digit for that matter is 1/6

Suppose that you roll a pair of standard 6-sided dice a total of 42 times. What is the probability that you will get a sum of 5 at least four times?

The probability of getting 5 on one toss of a pair is 1/9. The most probable number of fives you will get after 42 tosses is 4 or 5.

Add the probabilities of getting 5 four, five, six, seven, eight etc times out of 42 tosses. By the time you get to 15 times, the probability will be very small and you can quit adding them up.

The probability of rolling 5 four times is (1/9)^4*(8/9)^38*42!/(38!*4!)

= 119,930*1.524*10^-4*1.138*10^-2

= 0.20803

The probability of rolling 5 five times is (1/9)^5*(8/9)^37*42!/(37!*5!)

= 8.507*10^5*1.6935*10^-5*1.2804*10^-2

= 0.18447

I am not going to continue this because it would take half the night, but you get the idea.

There is an easier way to do this that just occurred to me. It will give the same answer. Here it is:

Add the probabilities of getting 5 zero, one, two or three times, and subtract that from 1.

The probability of never getting five is (8/9)^42 = 0.007105

The probability of getting 5 only once is (1/9)*(8/9)^41*42 = 0.037304

The probability of getting 5 twice is

(1/9)^2*(8/9)^40*(42*41*/2) = 0.095591

Now YOU compute the probability of getting 5 three times. Add that to the probabilities above and subtract the sum from one. You should end up with a number around 0.6.

That will be the answer.

What is the probability of tossing 8 coins and 2 heads?

In a civilized culture whose citizens are accustomed to fundamental human rights

and the rule of law, one must hope that it's vanishingly small.

What does the convince sample mean?

Nothing, since there is no such term. Check your notes and resubmit your question.

What did the math instructor think of the statistical probability conference?

There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.



There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.



There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.



There was no point in it since nothing of significance came up. It might have been useful for Students, but that would mean that the event would have to deviate from the normal. In all likelihood the speakers were biased.

Question . If two normal dice are thrown together, what। is the probability of getting a sum of 6?

  1. Total number of out comes for two dice = 36 Number of Outcomes with sum 6 =4 Probability of Outcomes with sum 6 = 4/36 = 1/9

Details: Total possible Outcomes... (1,1), (1,2),(1,3),1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5,),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

Outcome with sum 6.... (1,5),(2,4),(3,3),(4,2),(5,1)

What is theoretical probaility?

The probability that a certain outcome will occur which is determined through reasoning or calculation.

What is the probability of the spinner landing on a 1?

It depends on the spinner: its shape and the numbers on it.

It depends on the spinner: its shape and the numbers on it.

It depends on the spinner: its shape and the numbers on it.

It depends on the spinner: its shape and the numbers on it.

If you flip a coin 150 times how many times could it land on heads?

It could land on heads any number of times between zero and 150.

The most probable result, if the coin is honest and balanced, is 75 times.

How do you claculate a z score given a percentlie of 67?

Unless you are a very advanced mathematician, you cannot calculate it. You have to look it up in a table.

What are the 8 possible out comes from tossing three coins using h for head and t for tails?

It's basically the binary numbers from 000 to 111 with h's and t's in place of the 1's and 0's:

ttt

tth

tht

thh

htt

hth

hht

hhh

Intricate examples of nonlinear function?

Here is a simple example of a nonlinear function.

Y = X2

=====Build on that!

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