CAT Probability — practice questions
58 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Probability in the app →The sample space of a single throw of a fair six-faced die isIf a fair coin is tossed once, the probability of getting a HEAD isA fair die is rolled. The probability of getting an ODD number isTwo fair dice are rolled. The probability that the SUM of the numbers showing is 7 isFor any two events $A$ and $B$, the probability of $A \cup B$ (A or B) is given byA card is drawn from a well-shuffled standard deck of 52 cards. The probability of drawing a KING isA fair die is rolled. The probability of getting a PRIME number isThree fair coins are tossed simultaneously. The probability of getting EXACTLY two heads isA card is drawn from a standard deck of 52. The probability that it is a KING or a QUEEN isIf $P(A) = 0.4$ and $P(B) = 0.5$ and $P(A \cap B) = 0.2$, then $P(A \cup B)$ isWhat is the probability that a randomly drawn card from a 52-card deck is a FACE CARD (King, Queen, or Jack)?Two events $A$ and $B$ are MUTUALLY EXCLUSIVE ifTwo fair coins are tossed. The probability of getting AT LEAST ONE head isIf the probability that a student passes a CAT mock test is $0.6$, what is the probability that the student FAProbability based on the results of actual experiments is called:A coin tossed 1000 times gave 455 heads. The empirical probability of a head was:Comte de Buffon tossed a coin 4040 times and got how many heads?Karl Pearson made 24000 tosses of a coin and obtained a head probability of:Theoretical probability is the number of outcomes favourable to E divided by:The classical definition of probability was given in 1795 by:Who wrote the first book on probability, The Book on Games of Chance?Throwing a fair die gives outcomes 1 to 6 that are:A bag has 4 red balls and 1 blue ball. Drawing a red ball and a blue ball are:An event having only one outcome of the experiment is called:The sum of the probabilities of all elementary events of an experiment is:For any event E, P(E) plus P(not E) equals:Throwing a die once, the probability of getting a number greater than 4 is:The probability of getting the number 8 in a single throw of a die is:An event whose probability is 0 is called:The probability of getting a number less than 7 in a single throw of a die is:For any event E, the value of P(E) always lies between:A standard deck has 52 cards divided into how many suits?Drawing one card from a well-shuffled deck of 52, the probability it is an ace is:Kings, queens and jacks in a deck are together called:If the probability of Sangeeta winning a tennis match is 0.62, the probability Reshma wins is:Ignoring a leap year, the probability that two friends have different birthdays is:An analyst measures how certain an outcome of a repeated activity is. That measure is called:A die is rolled once. The set containing 1, 2, 3, 4, 5 and 6 is called the:Probabilities cannot take just any value. Every probability lies between:A fair coin is flipped 20,000 times and heads comes up close to half the time. That result illustrates that prRolling a fair die once, the probability of getting a four is 1/6 because there are six outcomes and:An event A has probability 0.5. That means A is equally likely to occur or:The event consisting of everything that is not A is written A prime and called the:Because those two events cover everything between them, their probabilities must add to:A card is drawn, and we ask the probability it is a king given that it is a face card. This is a:A die is rolled twice, and the first roll tells us nothing about the second. Such events are:Two events cannot both happen on the same trial, such as rolling a two and rolling a five at once. They are:To find the chance of A or B happening, add their probabilities and then subtract the probability that:For two mutually exclusive events, that subtraction step changes nothing because the overlap probability is:To find the chance that A and B both occur, the multiplication rule multiplies P(B) by:For independent events that conditional term simplifies, so the chance of both is found by multiplying:A sample space can be shown by listing outcomes, by a Venn diagram or by a:A name is drawn from a hat and then put back before the next draw. That sampling is done:If the name is kept out instead, each member of the population can be chosen:Drawing two cards from a 52-card deck without replacement, the denominator for the second draw becomes:Drawing one card from a full deck, the probability it is a spade is 13 out of:An experiment is repeated far more often, and the observed proportion moves toward the theoretical value. ThatUppercase letters such as A and B are used in probability notation to represent: