Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes.

Outcome 3 heads 2 heads 1 head No head

Frequency 23 72 77 28

If the three coins are simultaneously tossed again, compute the
(i) probability of 2 heads coming up.
(ii) probability of 3 tails coming up.

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Solution

Total number of times the three coins are tossed = 200
(i) Number of outcomes in which 2 heads coming up = 72
∴ Probability of 2 heads coming up = $\frac{72}{200} = \frac{9}{25}$

(ii) Number of outcomes in which 3 tails i.e no heads coming up = 28
∴ Probability of 3 tails coming up = $\frac{28}{200} = \frac{7}{50}$

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Similar questions

Three coins are tossed simultaneously $200$ times with the following frequencies of different outcomes:

Outcome	$3$ heads	$2$ heads	$1$ head	No head
Frequency	$23$	$72$	$77$	$28$

If the three coins are simultaneously tossed again, compute the probability of $2$ heads coming up.

200

Outcome	$3 h e a d s$	$2 h e a d s$	$1 h e a d$	No head
Frequency	$23$	$72$	$77$	$28$

2

100

- 14

- 38

- 36

- 12

2

3

\begin{matrix} O u t c o m e & 3 h e a d s & 2 h e a d s & 1 h e a d & N o h e a d F r e q u e n c y & 23 & 72 & 77 & 28 \end{matrix}

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