JEE Main Probability — practice questions
62 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main 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):The number of elements in the sample space when a coin is tossed twice is:The probability of a sure event is:The probability of an impossible event is:For any event A, $P(\text{not }A)$ equals:The probability of getting an even number on a single throw of a die is:If A and B are mutually exclusive events, then $P(A\cap B)$ equals:For any two events A and B, $P(A\cup B)$ equals:The probability of drawing a king from a standard pack of 52 cards is:When two dice are thrown, the probability that the sum of the numbers is 7 is:The probability of getting at least one head when a coin is tossed twice is:If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:The probability of getting a number greater than 4 on a single throw of a die is:In the classical definition, the probability of an event E is:A fair coin is tossed twice. The probability of getting at least one head is:If $P(A) = 0.5, P(B) = 0.4, P(A \cap B) = 0.2$, then $P(A | B)$ is:Two events $A$ and $B$ are independent if:A binomial random variable $X$ has $n = 10$ trials and success probability $p = 0.3$. Its mean is:A card is drawn from a deck of 52. Given that the card is RED, what is the probability that it's a KING?If P(A) = 0.5, P(B) = 0.6, and P(A ∩ B) = 0.2, then P(A ∪ B) is:Two dice are rolled. The probability of getting AT LEAST ONE SIX is:Bayes' theorem is essentially used to:For a discrete random variable X with values 0, 1, 2 and probabilities 0.3, 0.5, 0.2 respectively, the mean E(In a binomial distribution B(n=10, p=0.5), the probability of EXACTLY 6 successes is:The 4 conditions required for a binomial distribution (Bernoulli trials) include all the following EXCEPT:For a binomial distribution B(n, p), the MEAN and VARIANCE are:The number of ways to choose 3 books out of 5 (order does NOT matter) is: