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A person puts three cards addressed to three different people in three envelopes with three different addresses without looking. What is the probability that the cards go into their respective envelopes
- a)2/3
- b)1/6
- c)1/5
- d)2/5
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A person puts three cards addressed to three different people in three...
Number of ways the letter can be put into envelops = 3! = 6
Probability = 1/6
Probability = 1/6
Most Upvoted Answer
A person puts three cards addressed to three different people in three...
Solution:
There are 3! = 6 ways to put 3 cards in 3 envelopes. Out of these, only one way is correct, that is, putting each card in its respective envelope.
So, the probability of the cards going into their respective envelopes is 1/6.
Therefore, the correct option is (B).
Explanation:
Let's consider the different ways in which the cards can be put in the envelopes:
1. Card 1 goes in Envelope 1, Card 2 goes in Envelope 2, Card 3 goes in Envelope 3 (Correct way)
2. Card 1 goes in Envelope 1, Card 2 goes in Envelope 3, Card 3 goes in Envelope 2
3. Card 1 goes in Envelope 2, Card 2 goes in Envelope 1, Card 3 goes in Envelope 3
4. Card 1 goes in Envelope 2, Card 2 goes in Envelope 3, Card 3 goes in Envelope 1
5. Card 1 goes in Envelope 3, Card 2 goes in Envelope 1, Card 3 goes in Envelope 2
6. Card 1 goes in Envelope 3, Card 2 goes in Envelope 2, Card 3 goes in Envelope 1
Out of these, only the first way is correct, so the probability of the cards going into their respective envelopes is 1/6.
Hence, option (B) is the correct answer.
There are 3! = 6 ways to put 3 cards in 3 envelopes. Out of these, only one way is correct, that is, putting each card in its respective envelope.
So, the probability of the cards going into their respective envelopes is 1/6.
Therefore, the correct option is (B).
Explanation:
Let's consider the different ways in which the cards can be put in the envelopes:
1. Card 1 goes in Envelope 1, Card 2 goes in Envelope 2, Card 3 goes in Envelope 3 (Correct way)
2. Card 1 goes in Envelope 1, Card 2 goes in Envelope 3, Card 3 goes in Envelope 2
3. Card 1 goes in Envelope 2, Card 2 goes in Envelope 1, Card 3 goes in Envelope 3
4. Card 1 goes in Envelope 2, Card 2 goes in Envelope 3, Card 3 goes in Envelope 1
5. Card 1 goes in Envelope 3, Card 2 goes in Envelope 1, Card 3 goes in Envelope 2
6. Card 1 goes in Envelope 3, Card 2 goes in Envelope 2, Card 3 goes in Envelope 1
Out of these, only the first way is correct, so the probability of the cards going into their respective envelopes is 1/6.
Hence, option (B) is the correct answer.
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Community Answer
A person puts three cards addressed to three different people in three...
Here is your answer--
Number of ways the letter can be put into envelops = 3! = 6Probability = 1/6
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A person puts three cards addressed to three different people in three envelopes with three different addresses without looking. What is the probability that the cards go into their respective envelopesa)2/3b)1/6c)1/5d)2/5Correct answer is option 'B'. Can you explain this answer?
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