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

Question

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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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... help_outlineImage Transcriptionclose(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)} fullscreen

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