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AP EAMCET202018 Sep 2020Evening ShiftMathematicsProbabilityActual

If (P ) and (Q ) each toss three coins. The probability that both gets same number of heads, is

Options

  1. A( 3 8 )
  2. B( 1 9 )
  3. C( 3 16 )
  4. D( 5 16 )

Correct answer

D. ( 5 16 )

Step-by-step solution

Let (p ) and (q ) represents the probability of getting head and tail respectively on tossing a coin. So, (p=q= 1 2 ) ( aligned So, required probability & = _ r=0 ^3 [3_ C _r ( 1 2 )^3 ]^2 & = ( 1 2 )^6 [1^2+3^2+3^2+1^2 ] & = 20 64 = 5 16 aligned ) Hence, option (d) is correct.

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