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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Probability PYQ


MAH CET MCA PYQ
A bookshelf has 5 red books, 3 blue books, and 4 green books. If you randomly select a book from the shelf, what is the probability that it is blue?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

Solution


MAH CET MCA PYQ
Find the probability of guessing correctly at least six of 10 answers in a True or False objective test.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Let $X \sim \text{Binomial}(n = 10, p = 0.5)$ $P(X \ge 6) = \sum_{r=6}^{10} \binom{10}{r} (0.5)^{10} = 0.377$

MAH CET MCA PYQ
Two customers, Rachana and Bhakti, are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on consecutive days?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Total days = 5 (Tuesday to Saturday). Total possible pairs $= 5 \times 5 = 25$. Consecutive day pairs = $(T,W), (W,T), (W,Th), (Th,W), (Th,F), (F,Th), (F,S), (S,F)$ → total 8. So, $P = \dfrac{8}{25}$.

MAH CET MCA PYQ
If X denotes the number obtained on the uppermost face of cubit die when it is tossed, then E(X) is





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

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MAH CET MCA PYQ
For a binomial distribution. The number of trials is 5 and P(X=4)=P(X=3), then P(X>2) is





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

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MAH CET MCA PYQ
A random variable X has the following Probability Mass Function:
 X 01
 P[X=x]$q^2$ $2pq$ $p^2$ 
Then the variance of X is 





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

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MAH CET MCA PYQ
Two numbers are selected randomly from a set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is :





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

Solution


MAH CET MCA PYQ
The probability of a shooter hitting a target is $\frac{3}{4}$. How many minimum numbers of times must he/she fire so that the probability of hitting the target at least once is more than 0.99?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2024 PYQ

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