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- - Find the probability of getting at most two heads-

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Standard IX

Mathematics

Coin Tossing Experiment

Three coins a...

Question

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

$\begin{matrix} Outcome & 3 h e a d s & 2 h e a d s & 1 h e a d & N o h e a d Frequency & 23 & 72 & 77 & 28 \end{matrix}$

Find the probability of getting at most two heads.

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Solution

Total number of three coins are tossed(n) =200

Getting at the most 2 heads (m) =72+77+28=177

$∴$ Probability P(A) = $\frac{m}{n} = \frac{177}{200}$

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

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

Outcomes	Frequency
3 heads	23
2 heads	72
1 head	77
No head	28

Q. 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

Find the probability of getting at most two heads.

Q. Three coins are tossed simultaneously

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if the three coins are simultaneously tossed again,compute the probability of: (1).

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heads coming up. (2).

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heads coming up. (3). at least one head coming up. (4).getting more heads than tails. (5). getting more tails than heads.

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

$\begin{matrix} Outcome & 3 heads & 2 heads & 1 heads & 0 heads Frequency & 22 & 76 & 83 & 19 \end{matrix}$

What is the probability of getting

(i) not more than one head?
(ii) at least two heads?
(iii) exactly two heads? [3MARKS]

Question 4
Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:
$\begin{matrix} Out come & 3 heads & 2 heads & 1 head & No head Frequency & 23 & 72 & 77 & 28 \end{matrix}$
If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.

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Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Outcome3 heads2 heads1 headNoheadFrequency23727728 Find the probability of getting at most two heads.

Total number of three coins are tossed(n) =200 Getting at the most 2 heads (m) =72+77+28=177 ∴ Probability P(A) =mn=177200

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

$\begin{matrix} Outcome & 3 h e a d s & 2 h e a d s & 1 h e a d & N o h e a d Frequency & 23 & 72 & 77 & 28 \end{matrix}$

Find the probability of getting at most two heads.

Total number of three coins are tossed(n) =200

Getting at the most 2 heads (m) =72+77+28=177

$∴$ Probability P(A) = $\frac{m}{n} = \frac{177}{200}$