A six-faced fair dice is shown until 1 comes. Then the probability that 1 comes in even number of trials is (a) `5/11` (b) `5/6` (d) `6/11` (d) `3/28`

A six faced fair dice is thrown until 2 comes, then the probability that 2 comes in even number of trials is (dice having six faces numbered 1,2,3,4,5 and 6 )

Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face value of a fair dice by throwing it three times Then the probability that f(x) is an invertible function is (A) 5/36 (B) 8/36 (C) 4/9 (D) 1/3

Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face value of a fair dice by throwing it three times Then the probability that f(x) is an invertible function is (A) 5/36 (B) 8/36 (C) 4/9 (D) 1/3

Three identical dice are rolled once. The probability that the same number will appear on each of them, is (a) 1/6 (b) 1/36 (c) 1/18 (d) 3/28

A biased coin with probability p(0 lt plt 1) of falling tails is tossed until a tail appears for the first time. If the probability that tail comes in odd number of trials is (2)/(3) , then p equals

A purse contains 2 six-sided dice. One is a normal fair die, while the other has two 1s two 3s,and two 5s. A die is picked up and rolled. Because of some secret magnetic attraction of the unfair die, there is 75% chance of picking the unfair die and a 25% chance of picking a fair die. The dice is rolled and shows up the face 3. The probability that a fair die was picked up is (a) 1/7 (b) 1/4 (c) 1/6 (d) 1/24

Three randomly chosen nonnegative integers x , ya n dz are found to satisfy the equation x+y+z=10. Then the probability that z is even, is: 5/(12) (b) 1/2 (c) 6/(11) (d) (36)/(55)

An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is a. 5//16 b. 5//32 c. 5//8 d. 5//64

A six-faced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice, the probability that the sum of two numbers thrown is even is a. 1//12 b. 1//6 c. 1//3 d. 5//9

A fair die is thrown 20 times. The probability that on the 10th throw, the fourth six appears is a. "^20 C_(10)xx5^6//6^(20) b. 120xx5^7//6^(10) c. 84xx5^6//6^(10) d. none of these