P(doublet)=366=61, q=65. A wins on turns 1, 4, 7, ...: P(A)=p+q3p+q6p+…=1−q3p=1−125/2161/6=91/2161/6=6⋅91216=9136.
Three friends A, B and C are playing with a pair of dice. They throw two dice alternately. Coming of a doublet on two dice leads to a success and the game stops. If A starts the game, then the probability of his winning, is :
Held on 17 Aug 2022 · Verified 13 Jul 2026.
2161
9136
2167
216125
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
Consider a L.P.P, Maximize $Z = 3x + 5y$ subject to constraints $2x + 6y ≤ 6$, $x - y ≥ 0$, $x ≥ 0$, $y ≥ 0$. Then which of the following are true? (A) The feasible region of L.P.P is bounded region (B) The corner points of the feasible region are (0, 0), (2, 2), (0, 1) (C) Maximum value of Z is 9 (D) Point (1, 3) lies in the feasible region Choose the correct answer from the options given below:
If A and B are square matrices of order 3 such that |A| = -1 and |B| = 5, then the value of |3AB| is
Let $AX = B$ be a system of three linear equations in three variables. Then the system has (A) a unique solutions if $|A| = 0$ (B) a unique solutions if $|A| \neq 0$ (C) no solutions if $|A| = 0$ and (adj A) $B \neq 0$ (D) infinitely many solutions if $|A| = 0$ and (adj A)$B = 0$ Choose the correct answer from the options given below:
Let A = [aᵢⱼ]ₙₓₙ and B = [bᵢⱼ]ₙₓₙ. Then which of the following is/are true? (A) AB = BA (B) (AB)⁻¹ = B⁻¹ A⁻¹ (C) $(AB)^T = B^T A^T$ (D) AB = 0 ⇒ A = 0 or B = 0 Choose the correct answer from the options given below:
Work through every CUET UG Algebra PYQ, year by year.