NumericalEasy1 mark
4(b)
Each of the letters of the word ‘AUTHORIZES’ is written on identical circular discs and put in a bag. They are well shuffled. If a disc is drawn at random from the bag, what is the probability that the letter is:
one of the first 9 letters of the English alphabet which appears in the given word
Topic: Probability
Previous-year question practice database
Answer
Exam answer
Word: AUTHORIZES
Total discs = 10
The first 9 letters of the English alphabet are: A, B, C, D, E, F, G, H, I
Among the letters in AUTHORIZES, the matching letters are: A, E, H, I
Number of favourable outcomes = 4
Probability = 4/10
= 2/5
Answer:
2/5.
Explanation
Count only the letters of AUTHORIZES that belong to A through I. They are A, E, H and I, giving 4 favourable outcomes out of 10.
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