There are ten 50 paise coins placed on a table. Six of these show tails, four show heads. A coin is chosen at random and flipped over (not tossed). This operation is performed seven times. One of the coins is then covered. Of the remaining nine coins, five show tails and four show heads. The covered coin showsa)a headb)a tailc)more likely a headd)more likely a taile)None of theseCorrect answer is option 'A'. Can you explain this answer?

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There are ten 50 paise coins placed on a table. Six of these show tails, four show heads. A coin is chosen at random and flipped over (not tossed). This operation is performed seven times. One of the coins is then covered. Of the remaining nine coins, five show tails and four show heads. The covered coin shows

a)
a head
b)
a tail
c)
more likely a head
d)
more likely a tail
e)
None of these

Correct answer is option 'A'. Can you explain this answer?

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Most Upvoted Answer

There are ten 50 paise coins placed on a table. Six of these show tai...

Analysis:
To solve this problem, we need to carefully analyze the information given and use logical reasoning to determine the answer.

Given Information:
- There are ten 50 paise coins on a table.
- Six of these coins show tails, while four show heads.
- One coin is chosen at random and flipped over, without being tossed.
- This operation is performed seven times.
- One of the coins is then covered.
- Of the remaining nine coins, five show tails and four show heads.

Analysis of Flipping Operation:
Let's consider the initial state of the coins before any flipping operation is performed:
- Heads: 4 coins
- Tails: 6 coins

After each flipping operation, the state of the coins will change based on the following possibilities:
- If a tails coin is chosen and flipped, the number of tails coins will decrease by 1 and the number of heads coins will increase by 1.
- If a heads coin is chosen and flipped, the number of heads coins will decrease by 1 and the number of tails coins will increase by 1.

Since there are more tails coins initially, the probability of choosing a tails coin and flipping it is higher than choosing a heads coin and flipping it. Therefore, the number of tails coins is expected to decrease and the number of heads coins is expected to increase after the flipping operations.

Analysis of Covered Coin:
After performing the flipping operations, we are left with nine coins on the table. Out of these nine coins, five show tails and four show heads. Let's consider the possible scenarios for the covered coin:

1. If the covered coin is a tails coin:
- Before the flipping operations, there were six tails coins. Since the number of tails coins is expected to decrease after the flipping operations, it is more likely that the covered coin is a heads coin.

2. If the covered coin is a heads coin:
- Before the flipping operations, there were four heads coins. Since the number of heads coins is expected to increase after the flipping operations, it is less likely that the covered coin is a heads coin.

Based on this analysis, we can conclude that the covered coin is more likely to be a heads coin.

Answer:
Therefore, the correct answer is option 'A', the covered coin is more likely to be a head.

Answered by Wizius Careers · View profile

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Community Answer

There are ten 50 paise coins placed on a table. Six of these show tai...

Initially Heads = 4, Tails = 6

7 coins are flipped : This can be done in the following ways

The only case where we can have 5 tails and 4 heads from 9 coins is if 4 tails, and 3 heads were flipped.

This means the final set of coins has 5 heads and 5 tails.

So, the covered coin is a Heads.

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There are ten 50 paise coins placed on a table. Six of these show tails, four show heads. A coin is chosen at random and flipped over (not tossed). This operation is performed seven times. One of the coins is then covered. Of the remaining nine coins, five show tails and four show heads. The covered coin showsa)a headb)a tailc)more likely a headd)more likely a taile)None of theseCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about There are ten 50 paise coins placed on a table. Six of these show tails, four show heads. A coin is chosen at random and flipped over (not tossed). This operation is performed seven times. One of the coins is then covered. Of the remaining nine coins, five show tails and four show heads. The covered coin showsa)a headb)a tailc)more likely a headd)more likely a taile)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are ten 50 paise coins placed on a table. Six of these show tails, four show heads. A coin is chosen at random and flipped over (not tossed). This operation is performed seven times. One of the coins is then covered. Of the remaining nine coins, five show tails and four show heads. The covered coin showsa)a headb)a tailc)more likely a headd)more likely a taile)None of theseCorrect answer is option 'A'. Can you explain this answer?.

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