Three children took part in racing competition in their school with their respective probabilities to reach the finishing point being 1/3, 1/5 and 1/4 respectively. What is the probability that at least one of them will finish the race?

A tiffin box contains x pink and (x – 4) yellow toffees and another tiffin box contains (x – 1) yellow and (x – 3) pink toffees. If one of the tiffin box is selected at random and 2 toffees are drawn at random from the box thus selected, the probability that the two toffees are of different colours is 67/132. Find the total number of toffees in the first tiffin box?

Aarti gave her project assignment to a shopkeeper for binding. There were 19 pages including a cover page, 12 pages of theory and 6 pages of drawings. She told the shopkeeper that the theory pages are in a particular order and the drawing pages can be arranged anywhere provided they are together. If the cover page is always kept first what is the probability that rest of the pages are arranged as per requirement?

If the letters of the word “CRACKJACK” are rearranged in a random manner, what is the probability that vowels are neither together nor at the ends?

A basketball game is played between team Blue and Red. There are a total of 9 players in each team and 5 will play in the game. Ankit is in team blue and Vaibhav is in team Red. What is the probability that at least one of ankit or vaibhav is in playing five?

Three identical dices are rolled together, what is the probability that the product of all three outcomes on the three dices will be even?

A goldsmith has a bag, which contains some colourful stones. It contains 4 White and 8 Black stones. There is another bag which contains 5 White and 5 Black stones. One stone is to drawn from either of the two bags. What is the probability of drawing a White stone?

A bag has 9 balls – each of them is either white, yellow or Black. In every trial, one ball is drawn and put back in the bag before the next trial. The probability of getting a white ball in two consecutive trials is 1/81. The probability of getting two yellow balls in two consecutive trials is 4/9. What is the probability of getting balls of three different colours in three consecutive trials?

Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.

In a box there are 5 blue, x green, (x+2) red and 6 black balloons. Probability of choosing one green balloon from the given box is 1/3. What is the sum of the number of green, red and black balloons?

When two dice are thrown simultaneously, what is the probability that the sum of the scores on the dice is less than or equal to 4?