1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$A$ and $B$ are independent events with $P(A)=\frac{3}{10}$, $\mathrm{P}(\mathrm{B})=\frac{2}{5}$, then $\mathrm{P}\left(\mathrm{A}^{\prime} \cup \mathrm{B}\right)$ has the value

A
$\frac{41}{50}$
B
$\frac{41}{125}$
C
$\frac{7}{25}$
D
$\frac{7}{50}$
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Minimum number of times a fair coin must be tossed, so that the probability of getting at least one head, is more than $99 \%$ is

A
5
B
6
C
7
D
8
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X assumes values $1,2,3, \ldots \ldots ., \mathrm{n}$ with equal probabilities. If $\operatorname{var}(X): E(X)=4: 1$, then $n$ is equal to

A
20
B
15
C
25
D
10
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a game, 3 coins are tossed. A person is paid ₹ 100$, if he gets all heads or all tails; and he is supposed to pay ₹ 40 , if he gets one head or two heads. The amount he can expect to win/lose on an average per game in (₹) is

A
10 loss
B
5 loss
C
5 gain
D
10 gain
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