Question

A jar contains 5 popsicle sticks, numbered 1-5. A stick is drawn, then a letter in the word SPRING is chosen at random. What is the probability the number is greater than 2, then P?

Answer 1

10% probability that the number is greater than 2, then P

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Event A: Number greater than 2.

Event B: Letter P.

These events are independent, so:

`P(A \cap B) = P(A) * P(B)`

P(A)

There are 5 numbers.

3, 4 or 5, that is, 3 numbers greater than 2.

3/5 = 0.6. So P(A) = 0.6.

P(B)

6 letters, one of which is P. So

P(B) = 1/6 = 0.1667.

What is the probability the number is greater than 2, then P?

`P(A \cap B) = P(A) * P(B) = 0.6 * 0.1667 = 0.1`

10% probability that the number is greater than 2, then P