Question

A spinner has 10 sections numbered 1 to 10. Consider the events.

• Event A: Spin an odd number
• Event B: Spin a number greater than 1
• Event C: Spin a 2
• Event D: Spin a multiple of 2

Which pair of events are disjoint, cannot occur at the same time?

Events A and B
Events B and C
Events C and D
Events A and C

Answer 1

Answer:

events A and C

Step-by-step explanation:

you can't have an odd number and also land a 2

Answer 2

A ∩ C does not contains any element. So A and C is a disjoint event.

What is Disjoint Set?

Two sets are said to be disjoint sets if they have no element in common.

Here, S = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

Event A = { 1, 3, 5, 7, 9 }

Event B = { 2, 3, 4, 5, 6, 7, 8, 9, 10}

Event C = { 2 }

Event D = { 2, 4, 6, 8, 10}

Now,

A ∩ B = { 3, 5, 7, 9}

B ∩ C = {2}

C ∩ D = { 2 }

A ∩ C = { }

Thus, A ∩ C does not contains any element. So A and C is a disjoint event.

Learn more about Disjoint event from:

https://brainly.com/question/13490624

#SPJ5