Probability

No.

Earth

8 in 52

First event is to roll a 3 or 6 on a die, which gives you a probability of 2 out of 6.

Second event is tossing a heads on a coin, so a probability of 1 out of 2.

Since both chances are not related, you can multiply both chances:

2/6 times 1/2 = 1/6 = 0,166666...

How about r for reverse. If you are always moving in reverse you can never have a head on collision. Simple!

Although it's not clear which distribution you're referring to, I sense that I know what you mean. This is one of those situations where a function is only asymptotically zero, which is to say that it reaches zero only in the limit. But, no matter how large the exponent is, it never actually reaches zero; therefore, the probability never becomes zero. It only becomes extremely small.

If they can all be distiguished from one another, then 8*2 = 16 ways.

There are (1*5*4)*(3*2*1) = 120 arrangements.

The answer will depend on what the experiment is.

Let the number of sweets be n and use the rules of probability:-

If: 6/n times 5/n-1 = 1/8

Then: 30/n2-n = 1/8

Multiplying both sides by n2-n: 30 = n2-n/8

Multiplying both sides by 8: 240 = n2-n

Subtracting both sides by 240: 0 = n2-n-240

Solving the above quadratic equation: n = 16 or n = -15

Therefore it follows: n = 16 sweets

Note that n2 means n squared

Ketchup

55mph

It is a certainty - if you roll the die often enough. And on one roll it is impossible. Unfortunately you have chosen not to specify how many times the die is rolled, and without that crucial bit of information, it is not possible to give a more helpful answer.

The letters of the word "art" can be ordered in 6 ways.

1/26

yes you times it then simplify

The numbers must be greater than (mean - 2*sd) and laess than (mean + 2*sd).

tails

6/36 which is equal to 1/6

if you rollid a die once the odds of getting less than four would be 3/6 or 50%.

You can use a tree diagram or a binomial:

I choose a binomial:

8!/(4! * 4!) * .5^4 * .5 ^ 4

70 ways 8 flips can end in 4 v 4, * chance of 4 heads, * chance of 4 tails = .2734375 ~ 27.34 percent.

2234.

The probability is 1. If the maximum number of hairs is 100000 then there can be only 100000 people, each with a different number of hairs: 1, 2, 3, ..., 100000. Then the 100001st person must have the same number as someone in that list. Since the population of NYC is greater than 100001, then the event is a certainty.

4C2(1/2)4 = 6/16 = 3/8