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

Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096 and 0.2048 respectively. Then the probability of getting exactly 3 successes is equal to

A
$\frac{80}{243}$
B
$\frac{40}{7243}$
C
$\frac{32}{625}$
D
$\frac{128}{625}$
2
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The probability distribution of a random variable X is given by

$\mathrm{X=}x_i$: 0 1 2 3 4
$\mathrm{P(X=}x_i)$ : 0.4 0.3 0.1 0.1 0.1

Then the variance of X is

A
1.76
B
2.45
C
3.2
D
4.8
3
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three persons apply for the same house is

A
$\frac{1}{9}$
B
$\frac{2}{9}$
C
$\frac{7}{9}$
D
$\frac{8}{9}$
4
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A bag contains 4 Red and 6 Black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with 3 additional balls of the same colour are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red is

A
$\frac{41}{65}$
B
$\frac{24}{65}$
C
$\frac{26}{65}$
D
$\frac{28}{65}$
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