List of top Mathematics Questions on Probability

If $A$ and $B$ are mutually exclusive events, then
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. If the events are independent, then the probability of getting two red balls is
A urn contains 9 red, 7 white and 4 black balls. Out of them, one is drawn at random. The probability that the ball drawn will be a red or black, is
A signal which can be green or red with probability $\frac{4}{5} $ and $ \frac{1}{5} $ respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is $\frac{ 3}{4} $ If the signal received at station B is green, then the probability that the original signal green is
A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is
A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Then, the total number of outcomes for this experiment is
A natural number x is chosen at random from the first 100 natural numbers. Then the probability, for the equation $x+\frac{100}{x} > 50$ to be true is
$A$ event which has only $X$ sample point of a sample space, is called simple event. Here, $X$ refers to______.
A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out 2 socks at random. What is the probability that they match ?
$A$ die is rolled. Let $E$ be the event "die shows $4$" and $F$ be the event "die shows even number". Then, $E$ and $F$ are
A determinant is chosen at random from the set of all determinants of order 2 with elements 0 and 1 only. The probability that the value of the determinant chosen is positive is
A coin is tossed twice. If the second throw result in a tail, a die is thrown. Then, the total number of the outcomes of this experiment is
A card is drawn from a well-shuffled deck of $52$ cards. Find the odds in favour of getting a face card.
A card, drawn at random from a pack of 52 cards, is noted and kept aside. Another card is then drawn from the remaining pack at random. The probability that both the cards are kings is
A box contains $100$ bolts and $50$ nuts. It is given that $50\%$ bolts and $50\%$ nuts are rusted. Two objects are selected from the box at random. Find the probability that either both are bolts or both are rusted.
A bag contains n coupons marked 1, 2, 3, ........ n. If two coupons are drawn then the chance that the difference of the coupons exceeds m (less than n -1) is: