1.

The cards bearing letters of the word “MATHEMATICS” are placed in a bag. A card is taken out from the bag without looking into the bag (at random).(a) How many outcomes are possible when a letter is taken out of the bag at random? (b) What is the probability of getting (i) M? (ii) Any vowel? (iii) Any consonant? (iv) X?

Answer»

(a) There are 11 outcomes namely M, M, A, A, T, T, H, E, I, C, S. 

(b) (i) Probability of getting ‘M’ = 2/11 

(ii) Probability of getting a vowel = 4/11 

(iii) Probability of getting a consonant = 7/11 

(iv) Probability of getting X = 0 = 0/11



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