Question

What is the probability that both events occur pls help

Answer 1

The probability that both events will occur is
`(1)/(6)`.

Explanation:

Assuming that your are using a die that goes from 1 to 6, this is the probability ↓

Event A is that the first die is a 1 or 6. 1 and 6 are two numbers out of 6 numbers total. So, we can represent the probability of Event A happening using the fraction
`(2)/(6)` which simplifies to
`(1)/(3)`.

Event B is that the second die is odd. Let's look at all the things that might occur when we roll a die.

1. The number we roll is 1.

2. The number we roll is 2.

3. The number we roll is 3.

4. The number we roll is 4.

5. The number we roll is 5.

6. The number we roll is 6.

Out of these numbers, 1, 3, and 5 are odd. here are 6 numbers total. So, we can represent the probability of Event B happening using the fraction
`(3)/(6)` which simplifies to
`(1)/(2)`.

Now that we have the individual probabilities, we need to find the probability that both events will occur. To do that, we will multiply the probability of Event A with Event B.
`(1)/(3)` ×
`(1)/(2)` =
`(1)/(6)`.

Therefore, the probability that both events will occur is
`(1)/(6)`.

Hope this helps!

Answer 2

Explanation:

Probability of A is 2 out of 6 = 1/3 ( 1 or 6 out of 6 possible rolls)

Probability of B is 3 out of 6 = 1/2 (roll a 1 3 or 5 out of 6 possible rolls)

1/3 * 1/2 = 1/6