Questions
Three randomly chosen non-negative integers x, y and z are found to satisfy the equation x + y + z = 10. Then the probability that z is even, is
detailed solution
Correct option is C
x + y + z = 10Total number of non-negative solutions =10+3−1C3−1 =12C2=66Now let z = 2n∴ x+y=10−2n; n≥0Number of non-negative solutions of above equation is11 + 9 + 7 + 5 + 3 + 1 = 36.∴ Required probability =3666=611Talk to our academic expert!
Similar Questions
A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.
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