Two coind are tossed simultaneously 500 times with the following frequencies of different outcomes:

Two heads: 95 times

One tail: 290 times

No head: 115 times

Find the probability of occurrence of each of these events.

A coin is tossed 1000 times with the following frequencies:

Head: 455, Tail: 545

Compute the probability for each event.

Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes :

If the three coins are simultaneously tossed again, compute the probability of :

(i) 2 heads coming up.

(ii) 3 heads coming up.

(iii) at least one head coming up.

(iv) getting more heads than tails.

(v) getting more tails than heads.

1500 families with 2 children were delected randomly and the following data were recorded:

If a family is chosen at random, compute the probability that it has:

(i) No girl

(ii) 1 girl

(iii) 2 girls

(iv) At most one girl

(v) More girls than boys.

In a cricket match, a batsman hits a boundry 6 times out of 30 balls he plays.

Find the probability that on a ball played :

(i) he hits boundry

(ii) he does not hit a boundry.