Given:
There are 7 balls numbered 1 through 7 placed in a bucket.
The probability is calculated as,
[tex]P=\frac{Number\text{ of possible outcomes}}{\text{Total number of outcomes}}[/tex]The probability of randomly drawing two balls numbered 7 and 3 without replacement.
The number of balls are 7.
[tex]P=\frac{1}{7}\times\frac{1}{6}=\frac{1}{42}[/tex]Answer: probability is 1/42.
