The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{12}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{36}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is A $\frac{1}{36}$
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.
$∴ E = {(2, 2)}$
$\Rightarrow P (E) = \frac{1}{36}$
Therefore, the correct answer is (D).

Suggest Corrections

Similar questions

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

(A) 0 (B) (C) (D)

Choose the correct answer.
The probability of obtaining an even prime number on each die when a pair of dice is rolled is
(a) zero (b) $\frac{1}{3}$ (c) $\frac{1}{12}$ (d) $\frac{1}{36}$

Q. Find the probability of obtaining an even prime number on each die , when a pair of dice is rolled ?

Q. Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is

Q. A die has two faces each with number '

1

', three faces each with number '

2

' and one face with number '

3

'. Die is rolled once. The probability of obtaining the number

2

is:

Join BYJU'S Learning Program

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

The correct option is A 136When 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.∴E={(2,2)}⇒P(E)=136Therefore, the correct answer is (D).

The correct option is A $\frac{1}{36}$
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.
$∴ E = {(2, 2)}$
$\Rightarrow P (E) = \frac{1}{36}$
Therefore, the correct answer is (D).