if 3 coins are tossed together find the probablility of getting at least 1 tail and 1 head
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Answer:
Three coins are tossed. What is the probability of at least 1 head and 1 tail?
When three coins are tossed, the following are all the possible outcomes :
HHH, THH, HTH, TTH, HHT, THT, HTT, TTT.
The set of all possible outcomes is called as the Sample space and is denoted by S. There are 8 possible outcomes. So n(S) = 8.
The desirable event E is the set of all outcomes that should have at least one head and one tail. From the above it is discernible that E has six outcomes (i.e., other than HHH and TTT) which have at least one head and one tail. Therefore, n(E) = 6.
The probability of a desired event is defined as the ratio of number of outcomes favourable to it TO the number of all possible outcomes. Hence the required probability = n(E)/n(S) = 6/8 = 3/4.
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probability
of getting tail=1/3
probability of getting head=1/3
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