The probability of obtaining an even prime number on each die when a pair of dice is rolled is:
- 0
\((\frac{1}{3})\)
\((\frac{1}{12})\)
\((\frac{1}{36})\)
The Correct Option is D
Solution and Explanation
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}
\(P(E)=\frac{1}{36}\)
Hence option (D) is correct.
Top Questions on Probability
- A bag contains 5 red, 3 blue, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both are red?
- BITSAT - 2025
- Mathematics
- Probability
A shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively. In his inventory, he has 25% smartphones from company A, 35% smartphones from company B, and 40% smartphones from company C.
(ii) What is the probability that this defective smartphone was manufactured by company B?
A person buys a smartphone from this shopA shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively. In his inventory, he has 25% smartphones from company A, 35% smartphones from company B, and 40% smartphones from company C.
A person buys a smartphone from this shop(i) Find the probability that it was defective.
- In a consignment of electric lamps, 5% are defective. If a random sample of 8 lamps are inspected, what is the probability that one or more lamps are defective?
- When a coin is tossed 4 times, what is the probability of getting at most 3 heads?
Questions Asked in CBSE CLASS XII exam
- What is ‘Misch metal’? Give its one use.
- CBSE CLASS XII - 2025
- Inorganic chemistry
- Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).
- CBSE CLASS XII - 2025
- Evaluation of Definite Integrals by Substitution
- Your school is organizing an Inter-House Science Model-Making Competition. As President of the Science Club, draft a notice to inform all House members from IX – XII about the competition and specify the number of registrations invited per house. Include other necessary details. You are Mitali/Mukesh. Put your notice in a box.
- CBSE CLASS XII - 2025
- Letter Writing
- Which one of the following is the main polluter of Yamuna water in Delhi?
- CBSE CLASS XII - 2025
- Water pollution
- The objective of state highways is:
- CBSE CLASS XII - 2025
- Transport and Communication
Concepts Used:
Multiplication Theorem on Probability
In accordance with the multiplication rule of probability, the probability of happening of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A happens given that event B occurs.
Let's assume, If A and B are dependent events, then the probability of both events occurring at the same time is given by:
\(P(A\cap B) = P(B).P(A|B)\)
Let's assume, If A and B are two independent events in an experiment, then the probability of both events occurring at the same time is given by:
\(P(A \cap B) = P(A).P(B)\)
Read More: Multiplication Theorem on Probability