1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Three ships A, B, C sail from England to India. If the odds in favour of their safe arrival are 2:5, 3:7 and 6:11 respectively, then the probability that the exactly two ships arrive safely is
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A random variable X has the probability distribution
for the events E = {X is a prime number} and F = {X $\leq$ 3}, then P (E$\cup$F)=
| $X = x$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
| $P(X = x)$ | $0.23$ | $0.15$ | $0.12$ | $0.10$ | $0.20$ | $0.07$ | $0.08$ | $0.05$ |
for the events E = {X is a prime number} and F = {X $\leq$ 3}, then P (E$\cup$F)=
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The probability distribution of a random variable X is given by
Then the c.d.f. of X is given by
| $X = x$ | $1$ | $2$ | $3$ | $4$ |
| $P(X = x)$ | $k$ | $2k$ | $3k$ | $4k$ |
Then the c.d.f. of X is given by
4
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success is
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