question_answer

The cards bearing letter 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. 2

(b) (i) Probability of getting ?M? \[=\frac{2}{11}\]

(ii) Probability of getting a vowel \[=\frac{4}{11}\]

(iii) Probability of getting a consonant \[=\frac{7}{11}\]

(iv) Probability of getting X \[=\frac{0}{11}\]=0