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Two Coins Are Tossed Simultaneously 100 Times and the Outcomes Are as Given Below: If the Same Pair of Coins is Tossed Again at Random, Find the Probability of Getting: (I) Two Heads - Mathematics

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Question

Two coins are tossed simultaneously 100 times and the outcomes are as given below:

Outcomes Two heads
(H, H)
Exactly one head
(H T or T H)
No head
(T T)
No. of times 21 55 24

If the same pair of coins is tossed again at random, find the probability of getting:
(i) two heads
(ii) exactly one head
(iii) no head.

Sum
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Solution

(i) Here, the total number of trials = 100 times

Number of heads got (H, H) = 21

`∴ "P(E)" ="Number of trials in which two heads occurs"/"Total number of trials"=21/100`

(ii) Total number of trials = 100 times

Number of extractly one heads = 55

∴ P(E) =`55/100=11/20`

(iii) Total number of trials = 100 times

Number of heads = 24

∴ Probability =`24/100=16/25`

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Concept for Feel of Probability Using Data Through Experiments.
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Chapter 22: Probability - Exercise 22 (A)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 22 Probability
Exercise 22 (A) | Q 7

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