Question

A die is tossed thrice. Find the probability of getting an odd number at least once.

Answer 1

The correct answer is: \(\frac{7}{8}\)
Probability of getting an odd number in a single throw of a die=\(\frac{3}{6}=\frac{1}{2}\)
Similarly,probability of getting an even number \(=\frac{3}{6}=\frac{1}{2}\)
Probability of getting an even number three times\(=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{8}\)
Therefore, probability of getting an odd number at least once
=1-Probability of getting an odd number in none of the throws
=1-Probability of getting an even number thrice
\(=1-\frac{1}{8}\)
\(=\frac{7}{8}\)