Probability

The probability of selecting a red marble is 3/9

The Apology is an interpretation of the philosopher Socrates' speech by fellow philosopher Plato. At the end of the speech, Socrates dies.

the probabilty of both events is true. but which is most reliable is probabilty of B as it is more near to 1( total probabilty of any event)

There are 5 digits in 24680; think of them as 5 compartments. You can select 5 numbers for the 1st compartment, 4 numbers for the 2nd compartment, 3 numbers for the 3rd compartment, 2 numbers for the 4th compartment, and 1 number for the 5th compartment. So, the answer is 5*4*3*2*1 or 5! or 120

You can do it in 6 ways:

11111x

1111x1

111x1x

11x111

1x1111

x11111

Each has the same probability: (1/6)5 x (5/6) = 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 5/6 = 5/46656

So the probability is 5/46656 x 6 = 5/7776

You can use the binomial theorem so answer more complex questions like these.

(0.5)n

you are looking for the probability of getting one tail, two,......., and six

this equivalent to saying 1 - the probability of not getting any tails (or getting 6 heads = (1/2)^6).

P(X>=1) = 1 - (1/2)^6=

I want to stand on my own three feet

250

1

The probability of drawing the first ace is 4 in 52. The probability of getting the second ace is 3 in 51. The probability of getting the third ace is 2 in 50. The probability, then, of drawing three aces is (4 in 52) times (3 in 51) times (2 in 50), which is 24 in 132600, or 1 in 5525, or about 0.0001810

Out of a total of 36 combinations (1-1, 1-2, 1-3, ... 2-1, 2-2, ... 6-6), you have the following favorable possibilities:

1-1

1-2

1-3

1-4

2-1

2-2

2-3

3-1

3-2

4-1

The total is 10 combinations out of 36, so the probability is 10/36.

Assuming that a dice roll is purely random, there is a 1 in 6 probability of landing on any number. Since the second roll depends on the probability of the first, they factor together:

First Roll: 1/6

Second Roll: (1/6)(1/6) = 1/36

If you were rolling both dice at once, however, the math would be completely different.

I'm assuming you multiply the numbers rolled. Thus the rules of even and odd numbers come into play. The only way to get an odd product is to roll two odd numbers. The probability desired is 1 minus the probability of rolling two odd numbers.

The odds of rolling an odd number is 1/2. Since the rolls are independent events, the odds of rolling two odd numbers is (1/2)2 = 1/4

So the probability of getting an even product is:

1 - 1/4 = 3/4

4:

Because there will be at least 1 of two kinds of marbles, and 2 of the other.

Ex: 1 black, 1 red, and 2 whites.

No.

The Z test.

the larger you r sample size the better your estimate. imagine take the height of person to estimate the average high of an adult male. would one person's height be a good estimate, or would taking the average height of 100, or 5000 adult males will produce a better estimate?

The factors of 10 are the numbers that divide 10 evenly: 1, 2, 5 and 10. To answer your question, you have to figure out what the probability of rolling one of these numbers is on a number cube.

1/6

I'm assuming "genius" means an unusual value (more than two standard deviations) in the right tail. This is (100 - 95.45)/2 = 2.275 percent, approximately. So:

6,575,000,000 * 0.02275 = 149,581,250 geniuses ... not that special, huh?