Question

1. Create a non-mutually exclusive question. Explain it in detail and come up with the solution.

2. Create a compound event question. Explain it in detail and come up with the solution.

Answer 1

(1)

(i)

A non-mutually exclusive question is created as follows:

Question:

Find the probability of getting an event of odd number and the event of lees than 4 in rolling a die

(ii)

Explanation:

Here the 2 events:

Event A = getting an event of odd number

and

Event B = lees than 4

are non-mutually exclusive events, because both events A and B have at least one common outcome between them.

(iii)

Solution:

Total nuber of events: 6 (since there are 6 numbers in a die)

Favorable events for A = {1,3,5} (getting an event of odd number)

Favorable events for B = {1,2,3} (lees than 4 )

Between Favorable events for A and Favorable events for B, the common outcomes are: {1,3}: 2 Nos.

So,

the events: Event A = getting an event of odd number and Event B = lees than 4 are non-mutually exclusive events

P(A and B) = 2/6 = 0.3333

2.

(i)

A compound event question is created as follws:

Question:

Find the probability of getting an event of odd number in rolling a die

(ii)

Explanation:

Here the event:

Event A = getting an event of odd number

is a compound event because the event A has more than one possible outcme: {1,3,5} and they are all equally possible.

(iii)

Solution:

P(A) = Number of favorable events/ Total number of events = 3/6 = 0.5