Question 11 Mark
In a simultaneous throw of pair of dice, find the probability of getting:
A doublet of odd numbers.
A doublet of odd numbers.
Answer
View full question & answer→We know that a die has $6$ numbers: $1, 2, 3, 4, 5, 6$ and
$\therefore$ $n = 6 \times 6 = 36$
Favourable events i.e. getting the same odd number on both the dice are
$(1, 1), (3, 3)$ and $(5, 5)$
Hence total number of favourable events i.e. the same odd number on both the dice is $3$
We know that $\text{Probability}=\frac{\text{Number of favourable event}}{\text{Total number of event}}$
Hence probability of getting the same odd number on both the dice is $\frac{3}{36}=\frac{1}{12}$
$\therefore$ $n = 6 \times 6 = 36$
Favourable events i.e. getting the same odd number on both the dice are
$(1, 1), (3, 3)$ and $(5, 5)$
Hence total number of favourable events i.e. the same odd number on both the dice is $3$
We know that $\text{Probability}=\frac{\text{Number of favourable event}}{\text{Total number of event}}$
Hence probability of getting the same odd number on both the dice is $\frac{3}{36}=\frac{1}{12}$