Question
Asked Sep 29, 2019

Two fair distinct dice are tossed. What is the probability of getting a 6 or a 7 in a toss of two dice?

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Expert Answer

Step 1

Note:

Hi there! Thank you for posting the question. Since getting a 7 in a toss is impossible, we assume that “the probability of getting a 6 or a 7 in a toss of two dice” as “the probability of getting a sum of 6 or a 7 in a toss of two dice” and proceeded.

Step 2

Sample space:

The set of all possible outcomes of a probability experiment is called sample space of the experiment.

Here, two fair distinct dice are tossed.

The total number of outcomes in the samp...

(11),(1,2),(1,3).(1.4). (1,5).(1,6)
(2,1).(2,2).(2,3).(2.4). (2,5).(2,6)
(3,1).(3,2).(3,3). 3,4), (3,5), (3,6)
(4,1).(4,2),(4,3), (4,4). (4,5).(4,6)
(5,1).(5,2).(5,3).(5,4). (5,5).(5,6)
(6,1).(6,2).(6,3).(64). (6,5).(6,6)
The possible outcomes for the sum to be 6:{(1,5),.(2,4),(3,3), (4,2), (5,1)}
Sample space(S)=
The possible outc omes for the sum to be 7:{(1,6).(2,5),(3,4),(4,3), (5,2), (6,1)}
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(11),(1,2),(1,3).(1.4). (1,5).(1,6) (2,1).(2,2).(2,3).(2.4). (2,5).(2,6) (3,1).(3,2).(3,3). 3,4), (3,5), (3,6) (4,1).(4,2),(4,3), (4,4). (4,5).(4,6) (5,1).(5,2).(5,3).(5,4). (5,5).(5,6) (6,1).(6,2).(6,3).(64). (6,5).(6,6) The possible outcomes for the sum to be 6:{(1,5),.(2,4),(3,3), (4,2), (5,1)} Sample space(S)= The possible outc omes for the sum to be 7:{(1,6).(2,5),(3,4),(4,3), (5,2), (6,1)}

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