BITSAT Probability — practice questions
36 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice BITSAT Probability in the app →A fair coin is tossed twice. How many outcomes are there in the sample space?A fair six-sided die is rolled once. What is the probability of getting an even number?Two fair dice are rolled simultaneously. What is the probability that the sum of the numbers on the two dice iA card is drawn at random from a standard $52$-card deck. What is the probability that the card is either a kiEvents $A$ and $B$ are mutually exclusive with $P(A) = 0.4$ and $P(B) = 0.3$. Find $P(A \cup B)$.A bag contains $3$ red, $5$ blue, and $2$ green balls. One ball is drawn at random. What is the probability thThe arithmetic mean of n values x1, x2, ..., xn is:Median of an odd-length sorted data set is:Probability of a certain event:Probability of rolling a 6 on a fair die:For independent events A and B, P(A and B) equals:For mutually exclusive events A and B, P(A or B) equals:Find mean of {2, 4, 6, 8, 10}:Mode of {1, 2, 2, 3, 4, 4, 4, 5}:Variance of {2, 4, 6, 8, 10}:Standard deviation of {2, 4, 6, 8, 10}:P(at least one head in 2 fair coin tosses):Probability of drawing a heart from a standard 52-card deck:P(drawing an Ace OR King from a deck) =Two dice rolled. P(sum = 7) =Bayes' theorem relates P(A|B) and P(B|A):Number of ways to arrange 5 distinct books on a shelf:Number of ways to choose 3 students from a class of 10:A box has 5 red, 3 blue marbles. Probability of drawing 2 red and 1 blue in any order (without replacement, 3 For a Poisson distribution with mean λ = 3, P(X = 2):Standard deviation has the same units as:For 50 students with mean score 60 and variance 25, the coefficient of variation (sigma/mean × 100%):P(picking a king OR a heart from 52 cards):Two events A and B: P(A) = 0.3, P(B) = 0.4, P(A and B) = 0.1. Are they independent?5 cards drawn from a standard deck. Probability all 5 are aces:Number of distinguishable arrangements of letters in 'STATISTICS':Conditional probability P(A | B) is defined as:In a survey, 60% read newspaper A, 40% read B, 20% read both. P(reading neither):Binomial distribution: P(X = k) for n trials, success probability p:E(X) and Var(X) for fair coin tossed n times (success = heads, p = 0.5):Two cards drawn from a deck (no replacement). P(both kings):