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14.Probability
easy
A die is tossed thrice. Find the probability of getting an odd number at least once.
A
$\frac{7}{8}$
B
$\frac{7}{8}$
C
$\frac{7}{8}$
D
$\frac{7}{8}$
Solution
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
$=1-\frac{1}{8}$
$=\frac{7}{8}$
Standard 11
Mathematics
