# Two Coins Are Tossed Simultaneously 500 Times with the Following Frequencies of Different Outcomes: Two Heads: 95 Times One Tail: 290 Times No Head: 115 Times - Mathematics

Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:
One tail: 290 times
Find the probability of occurrence of each of these events.

#### Solution

The total number of trials is 500.

Let be the event of getting two heads, B be the event of getting one tail and be the event of getting no head.

The number of times A happens is 95, the number of times B happens is 290 and the number of times C happens is 115.

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) = 95/500

=0.19
P(B) = 290/500

= 0.58

P(c) = 115/500

=0.23

Concept: Probability - an Experimental Approach
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 25 Probability
Exercise 25.1 | Q 2 | Page 13

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