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A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is consonant.


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The probability of selecting a red ball at random from a jar that contains only red, blue and orange balls is 1/4. The probability of selecting a blue ball at random from the same
jar 1/3. If the jar contains 10 orange balls, find the total number of balls in the jar.

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Two different dice are rolled together. Find the probability of getting :

(i) the sum of numbers on two dice to be 5.

(ii) even numbers on both dice.

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A bag contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is:

(i) divisible by 3 or 5

(ii) a perfect square number

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A box consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Ramesh, a shopkeeper will buy only those shirts which are good but 'Kewal' another shopkeeper will not buy shirts with major defects. A shirt is taken out of the box at random. What is the probability that

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(ii) 'Kewal' will buy the selected shirt?

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Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.

P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.

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