1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
In a game, 3 coins are tossed. A person is paid $Rs \, 150$ if he gets all heads or all tails and he is supposed to pay ₹50 if he gets one head or two heads. The amount he can expect to win / lose on an average per game in ₹ is
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Let $A$ and $B$ are independent events with $\mathrm{P}(\mathrm{B})=\frac{2}{5}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{11}{20}$, then $\mathrm{P}\left(\mathrm{A}^{\prime} \mid \mathrm{B}\right)$ is root of the equation
3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The probability distribution of a discrete random variable X is
| $\mathrm{X}$ | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| $\mathrm{P(X=}x)$ | $\mathrm{2k}$ | $\mathrm{k}$ | $\mathrm{2k}$ | $\mathrm{4k}$ | $\mathrm{k}$ |
If $\mathrm{a}=\mathrm{P}(x<3)$ and $\mathrm{b}=\mathrm{P}(2 \leq \mathrm{X}<4)$, then
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