GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

Question : 50 of 65

Marks: +1, -0

A fair coin is tossed 20 times. The probability that 'head' will appear exactly 4 times in the first ten tosses, and 'tail' will appear exactly 4 times in the next ten tosses is _________(round off to 3 decimal places).

Your Answer:

Validate

Solution:

Required probability

=10 {C}_{4}(\;{1}/{2})^{4}(\;{1}/{2})^{6} × 10 {C}_{4}(\;{1}/{2})^{4} ×(\;{1}/{2})^{6}

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