Two coins are tossed simultaneously 500 times, and we get

Two heads : 105 times

One head : 275 times

No head : 120 times

Find the probability of occurrence of each of these events.

The probability of 2 heads:

105:500

This can be simplified further. If you divide them both by 5, you get:

21:100

That is the answer, as it cannot be simplified any further.

The probability of one head:

275:500

This can be simplified further. If you divide them both by 25, you get:

11:20

That is the answer, as it cannot be simplified any further.

The probability of no heads:

120:500

This can be simplified further. If you divide them both by 20 you get:

6:25

That is the answer, as it cannot be simplified any further.

So:

a) 21:100

b) 11:20

c) 6:25