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Three coins are tossed simultaneously. What is the probability of getting at least one head? - Mathematics

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Question

Three coins are tossed simultaneously. What is the probability of getting at least one head?

Sum

Solution

The possible outcomes when three coins are tossed together are

{HHH,TTT,THT,TTH,HHT,HTH,THH,HTT}. Therefore, the number of possible outcomes when two coins are tossed is 8.
Now, the possible outcomes of getting at least one head are {HHH, THT, TTH, HHT, HTH, THH, HTT}, which means the number of favourable outcomes is 7.
Therefore, the probability P of getting at least one head is:
P = `7/8`
Hence, the probability of getting at least one head is `7/8`
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