A number is chosen at random from the numbers 1 to 25. If it is known that the number chosen is a multiple of 4, then the probability that it is also a multiple of 3 is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\displaystyle\frac{1}{3}\)
Since the number is known to be a multiple of 4, the sample space shrinks to the multiples of 4 from 1 to 25:
4, 8, 12, 16, 20, 24 (6 numbers)
Among these, the multiples of 3 are
12, 24 (2 numbers)
So
\( \displaystyle P = \frac{2}{6} = \frac{1}{3} \)