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A dice is tossed once and even number has come up. The chance that it is either 2 or 4 is
- a)2/6
- b)4/9
- c)2/3
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A dice is tossed once and even number has come up. The chance that it ...
Probability of Getting an Even Number
When a dice is tossed, the probability of getting an even number is 3/6 or 1/2. This is because there are three even numbers on a dice: 2, 4, and 6, and a total of six possible outcomes.
Probability of Getting 2 or 4
Out of the three even numbers, only two are 2 and 4. Therefore, the probability of getting a 2 or 4 when an even number is rolled is 2/3.
Using Conditional Probability Formula
To calculate the probability of getting either 2 or 4 when an even number is rolled, we use the conditional probability formula:
P(A|B) = P(A and B) / P(B)
Where A is the event of getting either 2 or 4, and B is the event of getting an even number.
P(A and B) is the probability of getting both 2 or 4 and an even number, which is 1/6.
P(B) is the probability of getting an even number, which is 1/2.
Therefore, P(A|B) = (1/6) / (1/2) = 2/3.
Answer
Hence, the probability that when an even number is rolled, it is either 2 or 4 is 2/3. Therefore, option (c) is the correct answer.
When a dice is tossed, the probability of getting an even number is 3/6 or 1/2. This is because there are three even numbers on a dice: 2, 4, and 6, and a total of six possible outcomes.
Probability of Getting 2 or 4
Out of the three even numbers, only two are 2 and 4. Therefore, the probability of getting a 2 or 4 when an even number is rolled is 2/3.
Using Conditional Probability Formula
To calculate the probability of getting either 2 or 4 when an even number is rolled, we use the conditional probability formula:
P(A|B) = P(A and B) / P(B)
Where A is the event of getting either 2 or 4, and B is the event of getting an even number.
P(A and B) is the probability of getting both 2 or 4 and an even number, which is 1/6.
P(B) is the probability of getting an even number, which is 1/2.
Therefore, P(A|B) = (1/6) / (1/2) = 2/3.
Answer
Hence, the probability that when an even number is rolled, it is either 2 or 4 is 2/3. Therefore, option (c) is the correct answer.
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A dice is tossed once and even number has come up. The chance that it is either 2 or 4 isa)2/6b)4/9c)2/3d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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A dice is tossed once and even number has come up. The chance that it is either 2 or 4 isa)2/6b)4/9c)2/3d)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A dice is tossed once and even number has come up. The chance that it is either 2 or 4 isa)2/6b)4/9c)2/3d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dice is tossed once and even number has come up. The chance that it is either 2 or 4 isa)2/6b)4/9c)2/3d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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