Question

A bag contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. The probability that both are red is:

• A. (\(\frac{5}{14}\))
• B. (\(\frac{8}{56}\))
• C. (\(\frac{5}{28}\))
• D. (\(\frac{15}{56}\))

Hint:

For probability problems involving "without replacement," remember that the denominator (total items) and sometimes the numerator (desired items) decrease after each selection. Combinations provide a reliable way to solve such problems. Simplify fractions to their lowest terms for comparison with options.

Answer 1

The Correct Option is A