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 last 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 last 9 letters of the English alphabet are: R, S, T, U, V, W, X, Y, Z
Among the letters in AUTHORIZES, the matching letters are: R, S, T, U, Z
Number of favourable outcomes = 5
Probability = 5/10
= 1/2
Answer:
1/2.
Explanation
The relevant letters in AUTHORIZES are R, S, T, U and Z. Thus 5 of the 10 equally likely discs satisfy the condition.
More from Probability
Assertion (A): If a die is rolled, the probability of getting a number greater than 6 is
1/6
Reason (R): There are six possible outcomes when rolling a die, {1, 2, 3, 4, 5, 6}.2026Which of the following cannot be the probability of any event:2025Wall Clock2025Water Bottle2025Purse2025Assertion (A): A die is thrown once and the probability of getting an even number is 2/3
Reason (R): The sample space for even numbers on a die is {2, 4, 6}2024