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Three Coins Are Tossed Simultaneously. What is the Probability of Getting Exactly Two Heads?

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Question

Three coins are tossed simultaneously. What is the probability of getting exactly two heads?

Options

  • `1/2`

  • `1/4`

  • `3/8`

  • `3/4`

MCQ
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Solution

`3/8`

Explanation:

When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT.

Total number of possible outcomes = 8

Let E be the event of getting exactly two heads.

Then, the favourable outcomes are  HHT, THH, and HTH.

​Number of favourable outcomes = 3

∴ Probability of getting exactly 2 heads =  P(E) =`3/8` 

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Chapter 19: Probability - Multiple choice Questions [Page 708]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 19 Probability
Multiple choice Questions | Q 26 | Page 708
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