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

A die is thrown 4 times. Find the probability of getting at most two 6.

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

The sum of 20 terms of a series of which every even term is 2 times the term before it, every odd term is 3 times the term before it, the a. (2/7)(6^(10)-1) b. (3/7)(6^(10)-1) c. (3/5)(6^(10)-1) d. none of these

A die is thrown three times, find the probability that 4 appears on the third toss if it is given that 6 and 5 appear respectively on first two tosses.

If 6 times of 6th term of an A.P. is equal to 7 times term, then the 13th term of the A.P. is

A person predicts the outcome of 20 cricket matches of his home team. Each match can result in either a win, loss, or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct is equal to a. ^20 C_(10)xx2^(10) b. ^20 C_(10)xx3^(20) c. ^20 C_(10)xx3^(10) d. ^20 C_(10)xx2^(20)

A die is thrown three times, A: 4 appears on the third toss, B: 6 and 5 appear respectively on first two tosses. Determine P(A|B)

A die is thrown three times, A:4 appears on the third toss, B: 6 and 5 appear respectiyely on first two tosses Determine P(A|B).

A die is thrown a fixed number of times. If probability of getting even number 3 times is same as the probability of getting even number 4 times, then probability of getting even number exactly once is a. 1//6 b. 1//9 c. 5//36 d. 7//128

Simplify : (1.02xx10^10) xx(1.20xx10^(-3))