Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below- - Number of heads 0 1 2 3- Frequency 60 175 200 65- - Find the probability of i getting all three heads- ii getting an odd number of heads- -2 MARKS-

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Standard VIII

Mathematics

Experiment and Outcomes

Three similar...

Question

Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below.

$\begin{matrix} N u m b e r o f h e a d s & 0 & 1 & 2 & 3 F r e q u e n c y & 60 & 175 & 200 & 65 \end{matrix}$

Find the probability of (i) getting all three heads;

(ii) getting an odd number of heads. [2 MARKS]

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Solution

Concept: 1 Mark
Solution:0.5 Mark each

Probability of getting all three heads = 65/500 = 0.13
Probability of getting an odd number of heads = (65+175)/500 = 0.48.

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Similar questions

Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below.

$\begin{matrix} Number of heads & 0 & 1 & 2 & 3 Frequency & 60 & 175 & 200 & 65 \end{matrix}$

Find the probability of (i) getting all three heads;

(ii) getting an odd number of heads. [2 MARKS]

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

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Three similar coins were tossed simultaneously for 100 times and the data recorded is as given below :

No. of heads	0	1	2	3
No. of tosses (Frequency)	10	35	40	15

(i) What is the probability of getting more tails than heads?
(ii) What is the probability of getting more heads than tails?
(iii) Are (i) and (ii) complementary? Will they be complementary if we had 4 coins?

Three similar coins were tossed simultaneously for 100 times and the data recorded is as given below :

$\begin{matrix} No of heads & 0 & 1 & 2 & 3 No of tosses = Frequency & 10 & 35 & 40 & 15 \end{matrix}$

Q. Two coins were tossed simultaneously 80 times and the outcomes were recorded as under:

Outcome	Two heads	One head	No head
Frequency	24	36	20

If two coins are tossed at random, find the probability of getting
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(ii) one head
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Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below. Number of heads0123Frequency6017520065 Find the probability of (i) getting all three heads; (ii) getting an odd number of heads. [2 MARKS]

Concept: 1 Mark Solution:0.5 Mark each Probability of getting all three heads = 65/500 = 0.13 Probability of getting an odd number of heads = (65+175)/500 = 0.48.

Concept: 1 Mark
Solution:0.5 Mark each

Probability of getting all three heads = 65/500 = 0.13
Probability of getting an odd number of heads = (65+175)/500 = 0.48.