The probability for event a is 0.4, the probability for event b is 0.2, and the probability of events a and b is 0.1.

the events are not independent because
a) sum of p(a) and p(b) is greater than p(a and b)
b) product of p(a) and p(b) is greater than p(a and b)
c) product of p(a) and p(b) is not equal to p(a and b)
d) sum of p(a) and p(b) is not equal to p(a and b)

Option 'C' is correct.

Explanation:

Since we have given that

The probability for event A is 0.4

The probability for event B is 0.2

The probability of events A and B is 0.1

Now, we have to show that the events are not independent ,

For the case of independent events,

Hence, they are not independent because the sum of P(A) and P(B) is not equal to P(A and B).

Hence, Option 'C' is correct.

The events are not independent because the C) Product of P(A) and P(B) is not equal to P(A and B)

The probability of an event is defined as the possibility of an event occurring against sample space.

Permutation is the number of ways to arrange objects.

Combination is the number of ways to select objects.

Let us tackle the problem!

Given:

The probability for event A is 0.4 →

The probability for event B is 0.2 →

The probability of events A and B is 0.1 →

The events are not independent because

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Permutation , Combination , Alphabetical , Order , Arrangement , Selection

good luck on your studies! : )

david edward.