The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
A
0
B$\frac{1}{3}$
C$\frac{1}{12}$
D$\frac{1}{36}$
Download our app for free and get started
D$\frac{1}{36}$
When two dice are rolled, the number of outcomes is 36. The only even prime number is 2.Let E be the event of getting an even prime number on each die.
$\therefore\text{E}=\left\{\left(2,\ 2\right)\right\}$
$\Rightarrow\text{P}(\text{E})=\frac{1}{36}$
Therefore, the correct answer is D.
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
If A and B are such that $\text{P}(\text{A}\cup\text{B})=\frac{5}{9}$ and $\text{P}(\overline{\text{A}}\cup\overline{\text{B}})=\frac{2}{3},$ then $\text{P}(\overline{\text{A}})+\text{P}(\overline{\text{B}})=$
In a college 30% students fail in Physics, 25% fail in Mathenatics and 10% fail in both. One student is chosen at random. The probability that she fails in Physics if she failed in Mathematics is.