1
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
2
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
3
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
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a Binomial distribution consisting of 5 independent trials, probabilities of exactly 1 and 2 successes are 0.4096 and 0.2048 respectively, then the probability, of getting exactly 4 successes, is

A
$\frac{80}{243}$
B
$\frac{40}{243}$
C
$\frac{32}{625}$
D
$\frac{4}{625}$
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