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Three Coins Are Tossed Simultaneously 200 Times with the Following Frequencies of Different Outcomes: Outcome3 Heads2 Heads1 Headno Headfrequency23727728

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Question

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. 

Answer in Brief
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Solution

The total number of trials is 200.

Let A be the event of getting at most two heads.

The number of times A happens is 28 + 77 +72 = 177 .

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted by P (A) and is given by

P(A) = `m/n`

Therefore, we have P(A) = `177/200`.

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Chapter 25: Probability - Exercise 25.2 [Page 16]

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R.D. Sharma Mathematics [English] Class 9
Chapter 25 Probability
Exercise 25.2 | Q 7 | Page 16
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