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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.


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.

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 byand is given by

Therefore, we have.


Mathematics
RD Sharma (2017)
Standard IX

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