What is the probability of getting a sum of 7 on rolling a pair of dice? 7/12, 1/11, 1/6, 2/3

playbiEzJ

playbiEzJ

Answered question

2022-11-25

The likelihood of rolling two dice and getting the number seven is what?
A )   7 12 B )   1 11 C )   1 6 D )   2 3

Answer & Explanation

Alma Garner

Alma Garner

Beginner2022-11-26Added 15 answers

The true answer is D. 1 6




Given,
Sample space for rolling a pair of dice = S { (1,1) , (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) , (6,4) , (6,5) , (6,6) }
⇒ Total number of outcomes = 36
From the sample space, (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1) gives sum of 7.
⇒ Number of favourable outcomes = 6
Probability of an event, P ( E ) = number of favourable outcomes total number of outcomes
P (  getting sum 7 ) = 6 36 = 1 6


Consequently, the likelihood of rolling two dice and having the result 7 is 1 6 .

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