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‘A’ tosses a coin. If it shows a tail, ‘A’ is asked to roll a fair die and A’s score is the number that die shows. If the coin shows a head, ‘A’ is asked to toss five more coins and A’s score is that total number of heads shown including the first coin. If A tells you only that his score is 3, and if ‘P’ is the probability that ‘A’ rolled a die, then [1/P] is equal to  (where [ ] is the greatest integer function) 
    Correct answer is '2'. Can you explain this answer?
    Verified Answer
    A tosses a coin. If it shows a tail, A is asked to roll a fair die and...
    Let us define the events as follows:  
    E1 : A rolls the die  
    E2 : A tosses five more coins  
    E : A’s score is 3  

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    Most Upvoted Answer
    A tosses a coin. If it shows a tail, A is asked to roll a fair die and...
    Explanation:

    Given information:
    - A tosses a coin.
    - If it shows a tail, A rolls a fair die, and the score is the number on the die.
    - If it shows a head, A tosses five more coins, and the score is the total number of heads including the first coin.
    - A's score is 3.

    Solution:
    To find the probability that A rolled a die given that the score is 3, we need to consider the two possible scenarios:
    1. A rolled a die:
    - The probability of getting a score of 3 on a fair die is 1/6.
    - Therefore, the probability of this scenario is 1/6.
    2. A tossed 6 coins:
    - If A tossed 6 coins and got a total score of 3, the possibilities are as follows:
    - 1 head and 5 tails
    - 2 heads and 4 tails
    - The probability of getting 1 head and 5 tails in 6 coin tosses is (1/2)^6 = 1/64.
    - The probability of getting 2 heads and 4 tails in 6 coin tosses is 6C2 * (1/2)^6 = 15/64.
    - Therefore, the total probability of this scenario is 1/64 + 15/64 = 16/64 = 1/4.

    Calculating [1/P]:
    - P is the probability that A rolled a die which is 1/6.
    - Therefore, [1/P] = [1/(1/6)] = [6] = 6.
    Therefore, the correct answer is 6.
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    A tosses a coin. If it shows a tail, A is asked to roll a fair die and As score is the number that die shows. If the coin shows a head, A is asked to toss five more coins and As score is that total number of heads shown including the first coin. If A tells you only that his score is 3, and if P is the probability that A rolled a die, then [1/P]is equal to (where [ ] is thegreatest integer function)Correct answer is '2'. Can you explain this answer?
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    A tosses a coin. If it shows a tail, A is asked to roll a fair die and As score is the number that die shows. If the coin shows a head, A is asked to toss five more coins and As score is that total number of heads shown including the first coin. If A tells you only that his score is 3, and if P is the probability that A rolled a die, then [1/P]is equal to (where [ ] is thegreatest integer function)Correct answer is '2'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A tosses a coin. If it shows a tail, A is asked to roll a fair die and As score is the number that die shows. If the coin shows a head, A is asked to toss five more coins and As score is that total number of heads shown including the first coin. If A tells you only that his score is 3, and if P is the probability that A rolled a die, then [1/P]is equal to (where [ ] is thegreatest integer function)Correct answer is '2'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tosses a coin. If it shows a tail, A is asked to roll a fair die and As score is the number that die shows. If the coin shows a head, A is asked to toss five more coins and As score is that total number of heads shown including the first coin. If A tells you only that his score is 3, and if P is the probability that A rolled a die, then [1/P]is equal to (where [ ] is thegreatest integer function)Correct answer is '2'. Can you explain this answer?.
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