Question

A die has its six faces marked 0,1,1,1,6,6.
Two such dice are thrown together and the total score is recorded.
a)_ How many different scores are possible ?
b) What is the probability of getting a total of 7 ?




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Answer 1

Explanation:

a. 6+6, 0+1,1+1,6+0,6+1.

b. yes .6 + 1

Answer 2

Answer:

When two dice are thrown

Total outcomes = 36

a) (0,0) sum = 0

(0,1)  sum = 1

(0,6), sum = 6

(1,0),  sum = 1

(1,1),   sum = 2

(1,6),  sum = 7

(6,0), sum = 6

(6,1),  sum = 7

(6,6)  sum = 12

 Six different scores are possible: 0, 1, 6, 7, 12

b) Outcomes that gives the total score as 7:

    (1,6) - can happen 6 times

    (6,1) - can happen 6 times

∴ Favourable outcomes = 12

   P [getting total score as 7] = 12/36 = 1/3