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# A Coin is Tossed 1000 Times with the Following Frequencies: Head: 455, Tail: 545 Compute the Probability for Each Event. - Mathematics

Answer in Brief

A coin is tossed 1000 times with the following frequencies:
Head: 455, Tail: 545
Compute the probability for each event.

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#### Solution

The coin is tossed 1000 times. So, the total number of trials is 1000.

Let be the event of getting a head and be the event of getting a tail.

The number of times A happens is 455 and the number of times B happens is 545.

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 is denoted by P (A) and is given by

P(A) = m/n

Therefore, we have

P(A) = 455/1000

= 0.455

P(B) = 545/1000

=0.545

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 25 Probability
Exercise 25.1 | Q 1 | Page 13
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