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Given below are two statements.
Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.
Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.
Which of the following options is correct?
- a)Both statements 1 and 2 are true.
- b)Both statements 1 and 2 are false.
- c)Statement 1 is true, but statement 2 is false.
- d)Statement 1 is false, but statement 2 is true.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Given below are two statements.Statement 1: Rahul threw two dice simu...
Explanation:
Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is 1/6.
This statement is true. When two dice are thrown simultaneously, the total number of possible outcomes is 36 (6 outcomes for the first die and 6 outcomes for the second die). The possible outcomes for a total of 6 are (1,5), (2,4), (3,3), (4,2), and (5,1). Hence, the probability of getting a total of 6 is 5/36, which simplifies to 1/6.
Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.
This statement is false. The probability of getting at least one 6 when two dice are thrown is 11/36. To get the probability of getting at least one 6, we can calculate the probability of not getting any 6 and subtract it from 1. The probability of not getting a 6 on the first die is 5/6 and the probability of not getting a 6 on the second die is also 5/6. Hence, the probability of not getting any 6 on both dice is (5/6) x (5/6) = 25/36. Therefore, the probability of getting at least one 6 is 1 - 25/36, which simplifies to 11/36.
Therefore, the correct option is D, which states that statement 1 is false, but statement 2 is true.
Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is 1/6.
This statement is true. When two dice are thrown simultaneously, the total number of possible outcomes is 36 (6 outcomes for the first die and 6 outcomes for the second die). The possible outcomes for a total of 6 are (1,5), (2,4), (3,3), (4,2), and (5,1). Hence, the probability of getting a total of 6 is 5/36, which simplifies to 1/6.
Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.
This statement is false. The probability of getting at least one 6 when two dice are thrown is 11/36. To get the probability of getting at least one 6, we can calculate the probability of not getting any 6 and subtract it from 1. The probability of not getting a 6 on the first die is 5/6 and the probability of not getting a 6 on the second die is also 5/6. Hence, the probability of not getting any 6 on both dice is (5/6) x (5/6) = 25/36. Therefore, the probability of getting at least one 6 is 1 - 25/36, which simplifies to 11/36.
Therefore, the correct option is D, which states that statement 1 is false, but statement 2 is true.
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Community Answer
Given below are two statements.Statement 1: Rahul threw two dice simu...
Statement 1
Total possible number of outcomes of 2 dice = 36
Outcomes which have a total of 6 are:
(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)
Total number of outcomes which have a total of 6 = 5
Probability of outcomes which have sum 6 = Total number of outcomes which have ∑6/Total possible number of outcomes of 2 dice = 5/36
So, statement 1 is false.
Statement 2
Total possible number of outcomes of 2 dice = 36
Outcomes which have at least one 6 are:
(1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5)
Total number of outcomes which have at least one 6 = 11Probability of outcomes which have sum 6 = Total number of outcomes which have at least one 6/Total possible number of outcomes of 2 dice
= 11/36
So, statement 2 is true.
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Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer?
Question Description
Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer?.
Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Given below are two statements.Statement 1: Rahul threw two dice simultaneously. The total on two dice is 6. The probability of this is ⅙.Statement 2: Rohan threw two dice simultaneously. The probability of getting at least one 6 is 11/36.Which of the following options is correct?a)Both statements 1 and 2 are true.b)Both statements 1 and 2 are false.c)Statement 1 is true, but statement 2 is false.d)Statement 1 is false, but statement 2 is true.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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