Question

Suppose you select a number at random from the sample space {-3, -2, -1, 0, 1, 2, 3, 4). Find the probability. P(the number is less than 2 | the number is less than 4)

Evaluate 4!

Evaluate 6!

Evaluate 5!/3!

Answer 1

Explanation:

There are four numbers in the sample space that are less than 4: -3, -2, -1, and 0. Of these, three are less than 2: -3, -2, and -1. Therefore, the probability P(the number is less than 2 | the number is less than 4) is 3/4.

To evaluate 4!, we perform the multiplication 4 x 3 x 2 x 1, which equals 24.

To evaluate 6!, we perform the multiplication 6 x 5 x 4 x 3 x 2 x 1, which equals 720.

To evaluate 5!/3!, we first calculate 5! (which is equal to 5 x 4 x 3 x 2 x 1, or 120) and then divide by 3! (which is equal to 3 x 2 x 1, or 6). Therefore, 5!/3! = 120/6 = 20.