Question

A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent?

The two events are (dependant or independant) . In the given scenario, P(M and N) = .

Answer 1

Answer 1: The two events are Independent

Answer 2: In the given scenario, P(M and N) = P(M)*P(N) .

Answer 2

Answer: M and N are independent.

And P(M∩N) = P(M).P(N)

Explanation:

Since we have given that

A six sided fair die is rolled.

A fair coin is tossed.

Let M be the events of getting an old number on the die.

Let N be the events of getting tails on the coin.

We can see that M and N are not dependent as the former depends upon the die whereas the latter depends upon the coin.

So, M and N are independent.

And P(M∩N) = P(M).P(N)