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

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Answer in Brief

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
Find the probability of occurrence of each of these events.

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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`

P(B) = `290/500`

= 0.58

P(c) = `115/500`



Concept: Probability - an Experimental Approach
  Is there an error in this question or solution?


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

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