By Bayes' theorem, P(late)=(3/10)(1/4)+(1/5)(1/3)+(1/10)(1/12)+(2/5)(0). Common denominator 120: 9/120+8/120+1/120=18/120=3/20. Then P(bus∣late)=[(1/5)(1/3)]/(3/20)=(1/15)(20/3)=4/9.
A doctor is to visit a patient. It is known that the probabilities that he will come by train, bus, scooter or by other means of transport are…
CUET UG 2023 — Mathematics Algebra
2023mcqhard
A doctor is to visit a patient. It is known that the probabilities that he will come by train, bus, scooter or by other means of transport are respectively 103,51,101 and 52. The probabilities that he will be late are 41,31 and 121, if he comes by train, bus and scooter respectively, but if he comes by other means of transport, then he will not be late. When he arrives, he arrives late.
The probability that he comes by bus is:
Official previous-year question
Held on 23 May 2023 · Verified 13 Jul 2026.
Options
- A
94
- B
181
- C
31
- D
21
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Algebra in other years
More CUET UG Algebra questions
If f(x) = 2x + 3, then f⁻¹(x) is:
2026easy
If $\vec{a}$ is a unit vector perpendicular to both the vectors $\vec{b} = \hat{j} + \hat{2k}$ and $\vec{c} = \hat{i} + 2\hat{j}$, then $\hat{a}$ is equal to
2025medium
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
2025medium
A function $f: \mathbb{R} \rightarrow \{x \in \mathbb{R}: -1 < x < 1\}$ is defined as $f(x) = \frac{x}{1+|x|}$, then $f$ is:
2025medium
If A is a square matrix such that $A^2 = A$ and I is the identity matrix of same order as A, then the value of $(A-2I)^2 - (2A + I)^2 + 11A$ is:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Algebra
Work through every CUET UG Algebra PYQ, year by year.