The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive events. True or False.

Solution:

Given statement is ‘true’.

Mutually exclusive events are defined as events that cannot occur or happen at the same time. In other words, the probability of the events happening at the same time is zero. 

To explain the concept, let us first consider it as conditional probability.

As we know conditional probability is,

P(A | B) = P(A ∩ B) / P(B)

Where P(A | B) is the probability of event A where event B has already occurred.

But in this case, two events cannot occur simultaneously.

The sample space of rolling die once is S = {1, 2, 3, 4, 5, 6}

A: die show 3 = {3}

B: die show 2 = {2}

A ∩ B = { } = ＞P(A∩B) = 0

Thus, A and B are mutually exclusive event.

The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive event. True or False.

Summary:

The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive events is true.