Question

a die has its six faces marked 0,1,1,1,6,6. two such dice are thrown together and total score is recorded. (I) how many different scores are possible? ( ii) what is the probability of getting a total of 7​

Answer 1

Answer:

Step-by-step explanation:

Lets first figure out how many different scores are possible as a combination of both dices are thrown -  

(0,0) = 0

(0,1) = 1

(0,6) = 6

(1,1) = 2

(1,6) = 7

(6,6) = 12

To get a score of 7, one dice must show 1 and one dice must show 6.  

Probability of dice getting 1 = 3/6 = 1/2.  

Probability of dice getting 6 = 2/6 = 1/3.  

Thus probability of getting score 7 is =  

1/2 * 1/3 + 1/2*1/3 = 1/3.  

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Answer 2

Answer:

1. 15,

2. 15/6=5/2=2½ or 2.5