Question

21. Six faces of a die are numbered 1, 2, 2, 3, 3, 6. The die is rolled twice. The total score in two rolls is noted. Complete the following table which gives a few values of the total score on the two rolls.
What is the probability that the total score is
(1)even
(2) 6
(3) at least 6​

Answer 1

1). Even = 1/2

2). 6 = 1/9

3). at least 6 = 5/12

Step-by-step explanation:

As per the question,

If a dice is thrown twice, the maximum number of possible outcomes would be:

6 * 6 = 36

1). Total number of times when the outcome is even = 36/2 = 18

P = favorable outcomes/Total number of possible outcomes

∵ P(of getting an even number) = 18/36 = 1/2

2). Total times when the sum can be 6 = 4

P = favorable outcomes/Total number of possible outcomes

∵ P(of getting 6) = 4/36

= 1/9

3). Total times when it can be at least 6 = 15

P = favorable outcomes/Total number of possible outcomes

∵ P(getting at least 6) = 15/36

= 5/12

Learn more: Probability

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