Q32 of 134 Page 31

If a letter is chosen at random from the English alphabet, find the probability that the letter is (i) a vowel (ii) a constant

given: a letter is chosen at random from English alphabet

formula:


total possible outcomes of selecting an alphabet is 26C1


therefore n(S)=26C1=26


(i) let E be the event that a vowel has been chosen


E= {a, e, i, o, u}


n(E)= 5C1=5




(ii) let E be the event that a consonant is chosen


E= all alphabets - {a, e, i, o, u}


n(E)= 21C1=21




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20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is:

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(iv) greater than 12?


(v) divisible by 5?


(vi) not a multiple of 6?