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A pair of dice is thrown 4 times. If getting adoublet is considered a success, find the probability distribution of numberof successes. |
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Answer» Total outcomes=36 Probability of success=P=6/36=1/6 Probability of failure=Q=30/36=5/6 X=no. of times we get a doublet `P(x=0)=4C_0(1/6)^0(5/6)^4=625/1296` `P(x=1)=4C_1(1/6)^1(5/6)^3=500/1296` `P(x=2)=4C_2(1/6)^2(5/6)^2=150/1296` `P(x=3)=4C_3(1/6)^3(5/6)^1=20/1296` `P(x=4)=4C_4(1/6)^4(5/6)^0=1/1296` |
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