Coach Kennedy will roll a number cube, numbered 1-6, twice. What is the probability of rolling a number less than or equal to 2, then rolling a prime number?

The probability of rolling a number less than or equal to 2, then rolling a prime number is .

Step-by-step explanation:

The sample space of rolling a number cube, numbered 1 - 6 is:

S = {1, 2, 3, 4, 5, 6}

The cube is rolled twice.

Denote the events as follows:

A = rolling a number less than or equal to 2 in the first roll

B = rolling a prime number in the second roll

The two events A and B are independent.

This is because the result of rolling the cube the second time will not be dependent on the result of the first roll.

Compute the value of P (A) as follows:

Favorable outcomes = {1, 2} = 2

P (A) = Favorable outcomes of A ÷ Total number of outcomes

Compute the value of P (B) as follows:

Favorable outcomes = {2, 3, 5} = 3

P (B) = Favorable outcomes of B ÷ Total number of outcomes

Compute the probability of rolling a number less than or equal to 2, then rolling a prime number as follows:

Thus, the probability of rolling a number less than or equal to 2, then rolling a prime number is .

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

step-by-step explanation: