GATE ME 2020 Set 2 — Question 46
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Engineering Mathematics → Statistics & Distributions → Binomial Distribution
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Question
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).
Correct answer
0.041 to 0.043
Solution
The problem involves two independent binomial events.Event 1: Exactly 4 heads in the first 10 tosses.
Event 2: Exactly 4 tails in the next 10 tosses (which means exactly 6 heads).
Since :Total Probability: Since the two sets of tosses are independent:Rounding to 3 decimal places, we get .
Event 2: Exactly 4 tails in the next 10 tosses (which means exactly 6 heads).
Since :Total Probability: Since the two sets of tosses are independent:Rounding to 3 decimal places, we get .
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