5. 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).
What is the probability of getting
(ii) Any vowel ?

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Solution

Word MATHEMATICS have $11$ alphabet so total possible outcomes are $11$ (M,A,T,H,E,M,A,T,I,C,S) and desired outcomes for vowel is $4$ (A,E,A,I).
Probability = $\frac{D e s i r e d o u t c o m e s}{T o t a l o u t c o m e s} = \frac{4}{11}$ .
Hence, the probability of getting any vowel is $\frac{4}{11}$ .

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Q. The cards bearing letters of th words "MATHEMATICS" or placed in a bag. A card is taken out from the bag
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5. 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).What is the probability of getting (ii) Any vowel ?

Word MATHEMATICS have 11 alphabet so total possible outcomes are 11 (M,A,T,H,E,M,A,T,I,C,S) and desired outcomes for vowel is 4(A,E,A,I).Probability =DesiredoutcomesTotaloutcomes=411.Hence, the probability of getting any vowel is 411.

5. 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).
What is the probability of getting
(ii) Any vowel ?