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If three coins are tossed simultaneously, then the probability of getting at least two heads, is - Mathematics

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Question

If three coins are tossed simultaneously, then the probability of getting at least two heads, is 

Options

  • \[\frac{1}{4}\]

  • \[\frac{3}{8}\]

  • \[\frac{1}{2}\] 

  • \[\frac{1}{4}\]

MCQ
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Solution

GIVEN: Three coins are tossed simultaneously.

TO FIND: Probability of getting at least two head.

When three coins are tossed then the outcome will be

TTT, THT, TTH, THH. HTT, HHT, HTH, HHH

Hence total number of outcome is 8.

At least two heads means that, THH, HHT, HTH and HHH are favorable events

Hence total number of favorable outcome is 4 

`"We know that PROBABILITY" = "Number of favourable event"/"Total event number of event"`

Hence probability of getting at least two head when three coins are tossed simultaneously is equal to `4/8=1/2`

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Chapter 16: Probability - Exercise 16.4 [Page 36]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 16 Probability
Exercise 16.4 | Q 4 | Page 36
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