MAH CET MCA Probability Previous Year Questions (PYQs)
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Showing 8 questions
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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Find the probability of guessing correctly at least six of 10 answers in a True or False objective test.
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Let $X \sim \text{Binomial}(n = 10, p = 0.5)$
$P(X \ge 6) = \sum_{r=6}^{10} \binom{10}{r} (0.5)^{10} = 0.377$
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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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, $P = \dfrac{8}{25}$.
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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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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A random variable X has the following Probability Mass Function:
| X | 0 | 1 | 2 |
| P[X=x] | $q^2$ | $2pq$ | $p^2$ |
Then the variance of X is
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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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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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