Question

A coin is tossed up 4 times. The probability that tails turn up in 3
cases is
​

Answer 1

probability 3/4

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Answer 2

Given,

A coin is tossed up 4 times.

To find,

The probability that tails turn up in 3 cases.

Solution,

• The probable outcomes when a coin is tossed are Head and Tail.

• The coin is tossed up 4 times. The possible sample space is:

{HHHH, THHH, HHTH, HHTT, HHHT, HTHH, THTT, ,HTTH, HTTT, ,THHT, THTH, HTHT, TTHH, TTHT, TTTH, TTTT}.

• HTTT, THTT, TTHT, TTTH are the four cases when the tail turns up 3 times.

• Probability= (Total number of favorable outcomes)/(Total number of possible outcomes)

• The total number of possible outcomes when a coin is tossed up 4 times is 16.

• Total number of favorable outcomes as founded earlier is -4.

• Applying the values in formulae of probability-

         4/16 = 1/4.

Hence, 1/4 is the probability that when a coin is tossed up 4 times the tail turns up in 3 cases.