Correct option is A
Given:
· Tokens numbered from 1 to 25 are mixed.
· We need to find the probability that the number on the token drawn is divisible by
4 or 6.
Step 1: Identify numbers divisible by 4 or 6.
Numbers divisible by 4: The numbers divisible by 4 in the range from 1 to 25 are:
4, 8, 12, 16, 20, 24.
So, there are 6 numbers divisible by 4.
Numbers divisible by 6: The numbers divisible by 6 in the range from 1 to 25 are:
6, 12, 18, 24.
So, there are
4 numbers divisible by 6.
Numbers divisible by both 4 and 6 (i.e., divisible by 12): The numbers divisible by 12 in the range from 1 to 25 are:
12, 24.
So, there are
2 numbers divisible by both 4 and 6.
Step 2: Apply the principle of inclusion and exclusion.
The number of tokens that are divisible by
either 4 or 6 can be calculated as:
Total = (Divisible by 4) + (Divisible by 6) - (Divisible by both 4 and 6)
Substituting the values:
Total = 6 + 4 - 2 = 8.
So, there are
8 favorable outcomes (numbers divisible by 4 or 6).
Step 3: Calculate the probability.
The total number of possible outcomes is 25 (since the tokens are numbered from 1 to 25).
The probability is given by:
Probability = (Number of favorable outcomes) / (Total number of outcomes) = 8 / 25.
Final Answer:
The probability that the number on the token drawn is divisible either by 4 or by 6 is
8/25.
Correct Option:
(a) 8/25.
