Probability

1/8 or .125 or 12.5%

[(1 - p)/(1 - pet)]r for t < -ln(p)

where

p = probability of success in each trial,

r = number of failures before success.

3/16 * 7/15 = 21/240

10/3

1/2

7/26

Everyone is attracted to different philosophies for different reasons. It really can't be summed up in a generic statement.

In the early days of monotheism, people might have been attracted to it because it was new and different.

In the Rabbinic age (arguably up until modern times), outsiders were historically NOT attracted to Judaism because the Jewish people were persecuted and hated.

1 in 6, with a one-sided die. You have 6 possible outcomes, all have an even chance of happening. Therefore rolling a three is a 1 in 6, or a 1/6 chance.

4 out of 52.

The probability of randomly choosing 1 blue sock is 7/10. The probability of randomly choosing 2 blue socks in a row is 7/10 x 7/10 = 49/100.

We could answer that in a snap, if we knew something about the population

and could see the list of proposed samples. Call me crazy, but I'm suspecting

wherever you copied the question from, all that stuff was right there with it.

The answer depends on consistent with WHAT!

depends on the numbers on the spinner. if 1 thru 10, 7/10

In the simplest case, a geometric probability is one that is given in terms of the ratio of two areas. For example, suppose a parachutist could land anywhere on a 10 square kilometre area of open country with equal probability, and you wanted to know how probable it would be that the parachutist would land on a designated area of 2 square kilometres with that part of open country.

Then the probability would be 2 / 10 = 0.2

The same principles apply in more and more difficult or complex cases, and in spaces of higher dimension. For instance, one can discuss geometric probabilities involving three-dimensional space.

it converts electrical energy into mechanical energy

11 x 10 x 9 x 8 x 7 x 6 = 332,640.

Well, as an identical twin myself, I believe there is a one out of twelve chance of having identical twins, although, I'm not 100% sure....

predict the results of genetic crosses

In the context of the usage 1000%, it would be sure to happen. As far as probability is concerned, the probability of certain is 1 or 100%.

Yes. Simply make sure that the interval is greater than or equal to the range of the random variable.

Three in eight are the odds of getting exactly two heads in three coin flips. There are eight ways the three flips can end up, and you can get two heads and a tail, a head and a tail and a head, or a tail and two heads to get exactly two heads.

You can not roll an 8 on a 6 sided cube. The chances would be 0%, 0/0, or 0 to 0

Using the Poisson approximation, the probability is 0.0418

Assumed.

With a well shuffled normal deck, it is 16/52 or 4/13.