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Suppose a fair six-sided die is rolled once, if the value on the die is 1, 2 or 3 then die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?
  • a)
    10/21
  • b)
    5/12
  • c)
    2/3
  • d)
    1/6
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Suppose a fair six-sided die is rolled once, if the value on the die i...
If first throw is 1, 2 or 3 then sample space is only 18 possible ordered pairs. Out of this only (1, 5 ), (1, 6 ), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5) and (3,6) i e. 9 out of 18 ordered pairs gives a Sum ≥ 6.
If first throw is 4, 5 or 6 then second throw is not made and therefore the only way Sum ≥ 6 is if the throw was 6. Which is one out of 3 possible. So the tree diagram becomes as follows:

From above diagram
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Suppose a fair six-sided die is rolled once, if the value on the die is 1, 2 or 3 then die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?a)10/21b)5/12c)2/3d)1/6Correct answer is option 'B'. Can you explain this answer?
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