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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?
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    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...

    Understanding the scenario:
    Given that A's score is 3, we need to find the probability P that A rolled a die.

    Case 1: A rolled a die
    If A rolled a die, the possible outcomes are 1, 2, 3, 4, 5, or 6. The probability of getting a score of 3 is 1/6.

    Case 2: A tossed 5 more coins
    If A tossed 5 more coins, the total number of heads must be 3 (including the first coin). The number of ways to get exactly 3 heads out of 6 tosses is given by the binomial coefficient C(6,3) = 20.

    Calculating the total number of favorable outcomes:
    The total number of favorable outcomes is 1 (for rolling a die) + 20 (for tossing 5 more coins) = 21.

    Calculating the total number of possible outcomes:
    The total number of possible outcomes is 6 (for rolling a die) + 2^5 (for tossing 5 more coins) = 38.

    Calculating the probability P:
    The probability P = 21/38.

    Calculating [1/P]:
    [1/P] = [1/(21/38)] = [38/21] = 1.

    Therefore, the correct answer is 1.
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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 the greatest 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 the greatest 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 the greatest 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 the greatest integer function) Correct answer is '2'. Can you explain this answer?.
    Solutions 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 the greatest integer function) Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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