Question

If two dice are rolled, what is the probability that the sum of the upturned faces will equal 7

Answer 1

(1,6),(5,2),(2,5),(6,1)(3,4),(4,3),

Answer 2

Answer:

If two dice are rolled, 1/6 is the probability that the sum of the upturned faces will equal 7 .

Step-by-step explanation:

• In context to the given; we have to find the probability of getting summation 7 when two dice are rolled
• When two dice are rolled then the total Number of possible outcomes are:-

(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) = 36 outcomes

Total number of possible outcomes giving the sum of 7;

(1,6)(6,1)(2,5)(5,2)(3,4)(4,3) = 6 outcomes

⇒ Probability that the sum of the upturned faces will be equal to 7 =  Total number of possible outcomes giving the sum of 7 /  total Number of possible outcomes are

⇒ = 6/36

⇒ = 1/6

therefore, the probability is 1/6