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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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प्रश्न

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.

संक्षेप में उत्तर

उत्तर

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

 

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अध्याय 25: Probability - Exercise 25.1 [पृष्ठ १३]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 25 Probability
Exercise 25.1 | Q 2 | पृष्ठ १३

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