Practicing Success
A die is tossed four times. The probability of getting an odd number at least once, is |
\(\frac{1}{16}\) \(\frac{10}{16}\) \(\frac{4}{16}\) \(\frac{15}{16}\) |
\(\frac{15}{16}\) |
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 = $\frac{3}{6}=\frac{1}{2}$ as there are 6 outcomes → 1, 2, 3, 4, 5, 6 Probability of getting an even number four times = $\frac{1}{2}×\frac{1}{2}×\frac{1}{2}×\frac{1}{2}=\frac{1}{16}$ ∴ Probability of getting an odd number at least once =1− Probability of getting an even number four times $1-\frac{1}{16}=\frac{16-1}{16}=\frac{15}{16}$ Option 4 is correct. |