type the correct answer in the box. a bowl contains 25 balls numbered 1 to 25. a ball is drawn and its…

Explanation:

Step1: Find number of odd - numbered balls

There are 13 odd - numbered balls from 1 to 25 (1, 3, 5, …, 25).

Step2: Calculate probability of first ball being odd

The probability of drawing an odd - numbered ball first is $\frac{13}{25}$ since there are 13 odd - numbered balls out of 25 total balls.

Step3: Calculate probability of second ball being odd given first is odd

Since the first ball is not replaced, there are now 24 balls left and 12 odd - numbered balls left. So the probability of drawing an odd - numbered ball second given the first was odd is $\frac{12}{24}$.

Step4: Calculate probability of both events

By the multiplication rule for dependent events, the probability that both balls have odd numbers is $\frac{13}{25}\times\frac{12}{24}=\frac{13}{50}$.

Answer:

$\frac{13}{50}$