Probability

The risk of some congenital illnesses increases with the age of the mother. Since there is no information about that, it is not possible to give a more useful answer to the question.

There is no answer to this question. The greater the number of rolls, the closer you get to the bell-curve. But you will never ever actually reach the bell-curve.

Its probability.

Choose 3 then 2 then 1; 3*2*1 = 6 ways.

actuary

1 in 3

.5*.5*.5=1/8or.125

There are 13 cards in each suit and 52 cards in a single deck. So, the chance of getting a diamond is 13 out of 52 or 13/52 which reduces to 1/4 -- thus, the probability is .25 you will select a diamond on a single draw.

The probability of picking a green marble from a box that only contains blue marbles is zero.

The answer is 7! - 6! = 4320.

Luck of the flip, but they do not always land heads up.

If the first woman sits at an end, there is only the seat next to her where the second woman can sit. There are 2 such chairs, giving 2 × 1 = 2 possible sittings.

If the first woman doesn't sit at the end, the second woman can sit either side of her in one of 2 chairs. There are 5 - 2 = 3 such chairs, giving, 2 × 3 = 6 possible sittings.

Thus there are 2 + 6 = 8 possible sitting positions of the women.

For each of these there are 3 empty chairs which the man can occupy,

Thus there are 8 × 3 = 24 possible ways that 2 women and 1 man can sit on a row of 5 empty chairs if the two women must sit together.

A playing card is about 3.5 inches in length. The width of the card is 2.5 inches. A standard playing card deck has 52 cards.

just think the universe goes on forever. dont you think the probability is pretty high?

One in six

What you have is part of a novelty coin, or part of a coin used for illusions. You may be able to find a buyer for it on eBay, but it has no inherent collector's value, nor is it spendable, technically, as a cent. (The hollowing-out, by the way, was done after the coin was minted.) Somebody hollowed out a normal penny and either ground off the edges of a dime, or ground off the back and the edges of another penny, and then glued this piece into the hollowed out area of the first coin. This was done to make either a two-headed coin, or a coin that would appear to change from a penny to a dime in a magic trick. These coins are mass-produced and sell for a couple dollars on eBay.

Assuming a standard 52 card deck, there are 12 face cards. So the chance of drawing a face card is 12/52, or 3/13.

Experimental or empirical probability.

1/3 the two numbers greater than 4 would be 5 and 6 so 2/6=1/3.

There are 6! = 720 different arrangements.

Depends on the dice!

There are six sides on a dice. The number 1 is on on out of the six sides to the probability of getting a one is

1/6 which is equal to .16666 or 16.6%

uummm!!!! The probability would maybe close to 5 or 4.

* * * * *

The answer is clearly incorrect because the probability of an event cannot be greater than 1.

The actual probability, assuming the dice are fair, is 4/36 = 1/9 = 11.11...%

This is a tricky question, but if you study probability, re-writing it in mathematical notations and using simple definitions and algebra would show you that the answer is yes.

We could rewrite the question as:

if B occur, A is more likely to occur,

Probability of A happening given B happened > probability of A happening

P( A given B) > P(A)

Is it true that in this case, P(B given A) > P(B)?

by definition,

P( B given A) = P(A and B) / P( A) = P( A given B) * P(B) / P(A)

Since P( A given B) > P(A),

then P( A given B)/ P(A) > 1

thus

P( B given A) > P(B)

and the answer is true, occurence of A makes B more likely.

Say A = lung cancer, B = smoking. If someone is smoking, they are more likely to have lung cancer. If someone has lung cancer, they are more likely to be a smoker or have smoked (compared to being a non-smoker).

The two distributions are symmetrical about the same point (the mean). The distribution where the sd is larger will be more flattened - with a lower peak and more spread out.