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Recent questions tagged conditional-probability

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Conditional Probability
(b) A plane is missing, and it is presumed that it was equally likely to have gone down in any of three possible regions. Let 1-3, 1 denote the probability that the plane...
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CMI 2023 | Data Science | Part B | Question: 9
There are three classrooms, $C_{1}, C_{2}$, and $C_{3}$. In $C_{1}$ there are 5 boys and 5 girls. $C_{2}$ has 3 boys and 5 girls. $C_{3}$ has 5 boys and 3 girls. We selec...
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ISI2024-MCS-PCA | Question: 28
There are two coins in a box. One of the coins is a fair coin and for the other, the probability of head is $\frac{2}{3}$. A coin is chosen at random from the box and tos...
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GATE Overflow Test Series | Quantitative Aptitude | Shallow Test 1: 21
The probability that it is Wednesday and an employee is late is 0.06. Since there are 5 working days in a week, the probability that it is Wednesday is 0.2. What is the p...
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GATE CSE 2024 | Set 1 | Question: 53
A bag contains $10$ red balls and $15$ blue balls. Two balls are drawn randomly without replacement. Given that the first ball drawn is red, the probability (rounded off ...
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GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 21
Suppose we have events $A, B$ in a sample space. And we know that $\mathrm{P}(\mathrm{A})=0.3, \mathrm{P}\left(\mathrm{B} \mid \mathrm{A}^c\right)=0.25, \mathrm{P}(\mathr...
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Memory Based GATE DA 2024 | Question: 13
A fair six-sided die is thrown repeatedly. Find the expected number of throws until two consecutive throws show even numbers.
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Memory Based GATE DA 2024 | Question: 14
Consider two events $\mathrm{T}$ and $\mathrm{S}$. Let $\overline{\mathrm{T}}$ denote the complement of event $\mathrm{T}$. The probabilities associated with different ev...
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Memory Based GATE DA 2024 | Question: 35
Conditional probability\[\begin{aligned}    & \mathrm{P}(\mathrm{U}, \mathrm{V}, \mathrm{W}, \mathrm{X}, \mathrm{Y})    & = \mathrm{P}(\mathrm{U}) \cdot \mathrm{P}(\mathr...
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