Probability Tes...

Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. What is the probability that the drawn ticket contains a number, which is a multiple of 3 or 7?

In a box, there are 5 red, 9 green and 6 black balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

In a box, there are 5 Nestle and 18 Dairy Milk chocolates. Mohan picks up a chocolate without looking at it. What is the probability that it will be a Nestle chocolate?

Two dice are rolled simultaneously. What is the probability that the total obtained is not a prime number?

A coin is tossed. If it shows heads, then a dice is rolled. All possible outcomes are equally likely. Find the probability that the dice shows a number greater than 5.

A bag has 6 green marbles and 5 red marbles. Two marbles are drawn. What is the probability of getting both marbles of same colour, if two marbles are drawn without replacement?

Two fair dice are thrown. What is the probability that the number of dots on the first dice is greater than 3 and that on the second is greater than 4?

A card is drawn from a pack of 52 cards. What is the probability of getting a non-face card or an ace card?

Suresh throws 2 dice simultaneously. What is the probability of getting two numbers whose product is odd?

From a deck of playing cards, one card is removed randomly & found to be a Jack of hearts. Then a second card is drawn without replacing the first one. What is the probability of getting a second card as a Jack of red colour?

A sample space consists of numbers from 0 to 20. What is the probability that an element of the sample space is an even number, excluding numbers 0 and 20?

A single card is drawn from a well-shuffled deck of playing cards. What is the probability of the card being black with an even number?

Find the probability that a leap year selected at random contains either 53 Sundays or 53 Mondays.

In a dice game, a player rolls two dice. His score is the larger of the two numbers on the dice. For example, if he rolls 4 and 6, his score is 6 and if he rolls 3 and 3, his score is 3. What is the probability that his score is 4 or more?

Three boxes A, B and C contain 4 red and 5 blue balls, 3 red and 6 blue balls and 7 red and 4 blue balls, respectively. If a ball drawn at random is blue, then find the probability that it was drawn from box C.

In a class of 90 students, 60 play cricket, 20 play hockey and 20 do not play either game. If a student is chosen at random from this class, what is the probability that he plays exactly one game?

A deck of cards is divided into 2 small decks with unequal number of cards in each deck. The probability of selecting a red ace from the 1^st deck is given to beand that of selecting a black card from the 2^nd deck is . It is also known that the 2^nd deck does not have any red ace.
Find out the total number of cards in the 2^nd deck.

John, Mathew and Adam are playing with a pair of dice and have to obtain the sum of numbers 5, 6 and 7, respectively. Which of them has the highest possibility of winning?

A, B and C are three athletes participating in an event. Probabilities of A, B and C winning are 3/4, 1/3 and 2/5, respectively. What is the probability that at least one of them wins?

In a bolt factory, machines A, B, and C manufacture 25%, 35% and 40% of the total output, respectively. Out of the total outputs of A, B and C, 5%, 4% and 2%, respectively, are defective bolts. A bolt is drawn at random and is found to be defective. What is the probability that it is manufactured by machine B?

At an annual function of a company, 50 employees reached on time. Each employee was given a chit numbered 1-50 to select one awardee for the punctuality price.

Find the probability that the number on the chit of the winner is
(a) a composite number
(b) an odd multiple of 3
(c) has digit '4' in it
(d) neither a prime number nor an even number

Rahul is playing a game of darts. What is the probability that his dart will go on the inner circle provided that the area of the entire dart is 616 cm² and the radius of the inner circle is half the radius of the dart board? (Use pi = )

Match the following.

Column I	Column II
1. If two dices are tossed, then the probability that the sum of the numbers on the dice is a multiple of 4 is
2. If three coins are tossed, then the probability of getting tails on the first coin is
3. If a card is drawn from a pack of 52 cards, then the probability of getting a nine of red colour is
4. If a letter is chosen at random from the word BIBLIOGRAPHY, then the probability of getting a consonant is

Three bags contain 18 balls of red and blue colours. The first bag contains 3 red and 3 blue balls. The second bag contains 4 red and 2 blue balls and the third bag contains 2 red and 4 blue balls. One ball is taken out at random from each bag. The probability of getting 2 red balls and 1 blue ball is

Fill in the blanks.

1. If three coins are tossed together, the probability of getting tails on the third coin is M.
2. The probability of getting a sum of multiple of 5 if two dice are thrown is N.
3. In a stationery shop, there are 3 pastel colours, 2 painting colours and 5 water colours. The probability of not picking a painting colour is O.
4. If two dice are thrown simultaneously, the probability of getting same prime numbers on both the dice is P.