We are told that there are 8 blue scarves in the closet, and that the probability of a blue scarf being chosen is 2/5. So, if T represents the total scarves in the closet, we know that 8/T = 2/5.

Cross-multiplying gives:

40 = 2T

And dividing both sides by 2 gives:

20 = T

Therefore, Nora has a total of 20 scarves in her closet.

The only possibility to roll a product of 15 is to roll a 5 on the first dice and a 3 on the other, or a 3 on the first and 5 on the second. There are 36 total possibilities for two dice (6 * 6), 2 possibilities out of 36 gives you 2/36 = 1/18.

There are three red marbles, four blue marbles, and six green marbles. This means that there are a total of thirteen marbles. 

The probability of drawing a blue marble on the first drawy would be 4/13.

Because Jennifer doesn't replace the marble, after she draws the blue marble, there are only twelve marbles left. This means that the probability of next drawing a green marble would be 6/12 = 1/2.

To find the probability of the two events happening together, we must multiply them. In general, when you want to find the probability of one event AND another, you must multiply. 

probability = (4/13)(1/2) = 2/13

The answer is 2/13.

We have three choices for ice cream, three choices for sauces, and four choices for toppings.  Each selection is an independent event, so the choices are multiplied together: 3 * 3 * 4 = 36.

Probability is a number between 0 (will not happen) and 1 (will definitely happen).  Probability is generally a fraction where the numerator is the total of what you want to happen and the denominator is the total count.

Total ways to choose two red marbles:  3 * 2 = 6

Total ways to choose two marbles:  10 * 9 = 90

Therefore, the probability of choosing two red marbles is 6/90 or 1/15

The standard deck of cards has 52 cards: 13 cards in 4 suits.

Ways to choose three hearts:  13 * 12 * 11 = 1716

Ways to choose three cards:  52 * 51 * 50 = 132600

Probability is a number between 0 and 1 that is defines as the total ways of what you want ÷ by the total ways

The resulting simplified fraction is 11/850

In the set of 1 to 15, two numbers, 6 and 12, are multiples of 6. That means there are two chances out of 15 to select a multiple of 6.

2/15

To solve the problem one must calculate that there are 50 orange crayons in the box. So ⁵⁰/₁₂₀ are orange. If we simplify that fraction by 10 we get 5/12.

Find the area of the entire field and the target area. The fraction of the field that is the target area is equal to the probability of the skydiver hitting the target area. For example, if the field were 100 m³ and the target area was 100 m³ than the probability would be 1. If the field were 100 m³ and the target area was 50 m³ than the probability would be 0.5 and so on.

(50 * 50)/(1000 * 500) = 5/1000 = 1/200

You take the probability of the first outcome times the probability of the second, so (2/9) * (1/8) = 2/72 = 1/36