COMEDK 2025 Morning Shift | Probability Question 9 | Mathematics

Vasant and Jothi play a game with a coin. Vasant stakes ₹ 1 and throw the coins four times. If he throws four heads, he gets his stake and ₹3 from Jothi. If he throws only three heads and they are consecutive, he gets his stake and ₹2 from Jothi. If he throws only two heads and they are consecutive, he gets his stake and ₹1 from Jothi. In all other cases Jothi takes the stake money. Find the expectation of Vasant's gain.

$-\frac{5}{8}$

$\frac{5}{8}$

COMEDK 2025 Morning Shift

MCQ (Single Correct Answer)

-0

In an entrance test, there are multiple choice questions. There are four possible answers to each question of which only one is correct. The probability that a student knows the answer to a question is $90 \%$. If he gets the correct answer to a question, then the probability that he was guessing is

$\frac{36}{37}$

$\frac{1}{9}$

$\frac{1}{37}$

$\frac{37}{40}$

COMEDK 2024 Evening Shift

MCQ (Single Correct Answer)

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While shuffling a pack of cards, 3 cards were accidently dropped, then find the probability that the missing cards belong to different suits?

$$\frac{104}{425}$$

$$\frac{169}{425}$$

$$\frac{261}{425}$$

$$\frac{169}{261}$$

COMEDK 2024 Evening Shift

MCQ (Single Correct Answer)

-0

Let $$\mathrm{A}$$ and $${B}$$ be two events such that $$P(A / B)=\frac{1}{2}$$ and $$P(B / A)=\frac{1}{3}$$ and $$P(A \cap B)=\frac{1}{6}$$ then, which one of the following is not true?

$$ \mathrm{A} \text { and } \mathrm{B} \text { are not independent } $$

$$ P(A \cup B)=\frac{2}{3} $$

$$ P\left(A^{\prime} \cap B\right)=\frac{1}{6} $$

$$ A \text { and } B \text { are independent } $$

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