XI - MATHS - PROBABILITY - 1

Find the probability that in a random arrangement of the letters of the word ' VARANASI' , the three A's come together.

• 4/28

• 3/28

• 4/24

• 3/24

The letters of the word 'COURSE' are placed at random in a row. What is the probability that the three vowels do not come together?

• 2/5

• 3/5

• 4/5

• 1/5

What is the probability that a leap year, selected at random, will have 53 Sundays?

• 2/366

• 1/366

• 1/7

• 2/7

The odds against a certain event are 5 : 7. Find the probability of its occurrence.

• 5/12

• 7/12

• 5/7

• 7/5

What are the odds in favour of throwing at least 7 in a single throw of two dice?

• 7 : 5

• 5 : 7

• 7 : 36

• 5 : 36

A pair of dice is rolled. Find the probability of getting a doublet or sum of numbers to be atleast 10.

• 12/18

• 14/18

• 5/18

• 6/18

A card is drawn from a pack of cards. Find the probability of getting a king or a heart or a red card.

• 6/13

• 7/13

• 5/13

• 8/13

Two cards are drawn from a well shuffled pack of 52 cards without replacement. Find the probability that neither an ace nor a card of hearts is drawn.

• 105/221

• 95/221

• 115/221

• 100/221

A box contains cards numbered from 1 to 100. A card is drawn. Find the probability that the number on the card is a multiple of 5 or 8.

• 7/10

• 31/100

• 32/100

• 3/10

A box contains 80 apples and 120 oranges. One tenth of the fruits are rotten. Mohan takes out a fruit from the box. What is the probability that the fruit chosen is rotten or an apple.

• 21/50

• 22/50

• 23/50

• 24/50