# If two events are mutually exclusive, what is the probability that both occur?

0, 0.5, 1.00, can not be determined with the information given

**Solution:**

The foremost example of mutually exclusive events is the tossing of a fair coin.

On tossing a coin either heads can appear or tails can appear.

Both cannot appear together.

We know that,

P(H) = 1/2

P(T) = 1/2

**Since the two cannot occur together we can write :**

P (H and T) = 0

Where P(H and T) is the joint probability of H and T appearing together.

**The probability of mutually exclusive events occurring together is zero**.

## If two events are mutually exclusive, what is the probability that both occur?

0, 0.5, 1.00, can not be determined with the information given

**Summary:**

The probability of mutually exclusive events occurring together is zero.