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Each of the following questions is followed by two statements.
1.If either of the statements I or II alone but not the other is sufficient to answer the question.
2.If both the statements I or II alone are sufficient to answer the question.
3.If questions can be answered with the help of both statements together, but not with the help of either statement alone.
4.If question cannot be answered unless more information is provided.
Two cards are drawn at random without replacement from a pack of cards. What is the probability that the second card is a jack?
I. The first card is a jack.
II.The first card is a king.
1
2
3
4
Let’s break it down, statement by statement:
- The question is: What’s the probability the second card is a jack, when drawing two cards (without replacement) from a standard deck?
Statement I:
- The first card is a jack.
- After drawing a jack first, there are 3 jacks left among the 51 remaining cards.
- So, probability = 3/51.
- Notice: This is enough *on its own* to answer the question.
Statement II:
- The first card is a king.
- All 4 jacks remain in the deck, and 51 cards left.
- Probability = 4/51.
- Again: This is enough *on its own* to answer the question.
Let’s check your options now:
- Option 1 means only one or the other works (not both) – that’s not true, both work.
- Option 2 means both statements I or II alone are sufficient – yes, that’s the situation here.
- Option 3 requires you to need both statements together – you don’t.
- Option 4: You need more info – you don’t.
Correct Answer: Option 2, 2
What this really means:
- Both statements let you answer the question, and neither needs the other. Simple, direct solution.
By: Sandeep Dubey ProfileResourcesReport error
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