If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -
A. $$\frac{{1}}{{4}}$$
B. $$\frac{{1}}{{2}}$$
C. $$\frac{{3}}{{4}}$$
D. $$\frac{{3}}{{5}}$$
Answer: Option B
Solution(By Examveda Team)
The number of exhaustive outcomes is 36.Let E be the event of getting an even number on one die and an odd number on the other.
Let the event of getting either both even or both odd
Then
$$\eqalign{ & P\left( {\overline E } \right) = \frac{{18}}{{36}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{1}{2} \cr & P\left( E \right) = 1 - \frac{1}{2} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{1}{2} \cr} $$
Related Questions on Probability
A. $$\frac{{1}}{{2}}$$
B. $$\frac{{2}}{{5}}$$
C. $$\frac{{8}}{{15}}$$
D. $$\frac{{9}}{{20}}$$
A. $$\frac{{10}}{{21}}$$
B. $$\frac{{11}}{{21}}$$
C. $$\frac{{2}}{{7}}$$
D. $$\frac{{5}}{{7}}$$
A. $$\frac{{1}}{{3}}$$
B. $$\frac{{3}}{{4}}$$
C. $$\frac{{7}}{{19}}$$
D. $$\frac{{8}}{{21}}$$
E. $$\frac{{9}}{{21}}$$
What is the probability of getting a sum 9 from two throws of a dice?
A. $$\frac{{1}}{{6}}$$
B. $$\frac{{1}}{{8}}$$
C. $$\frac{{1}}{{9}}$$
D. $$\frac{{1}}{{12}}$$
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