4.) Suppose you are throwing two dice in a friendly game of craps. For any given

Question

4.) Suppose you are throwing two dice in a friendly game of craps. For any given throw, the two numbers that are face up can have a sum of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12.

(a) Which outcome is most probable out of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12? (Choose all that apply.)

(b) Which outcome is least probable out of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12? (Choose all that apply.)

5.) When a sealed Thermos bottle full of hot coffee is shaken, what changes, if any, take place in (a) the temperature of the coffee and (b) its internal energy?

Explanation / Answer

the probility will increase if more number will add up to from a same number

here is the list of the outcomes with all the possible additions

we can see in the table that number "7" has most possibility as it can be formed by adding numbers in 7 ways

also

number 2 and 12 are the least probable as only one possible addition

Outcome List of Combinations Total 2 1+1 1 3 1+2, 2+1 2 4 1+3, 2+2, 3+1 3 5 1+4, 2+3, 3+2, 4+1 4 6 1+5, 2+4, 3+3, 4+2, 5+1 5 7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 6 8 2+6, 3+5, 4+4, 5+3, 6+2 5 9 3+6, 4+5, 5+4, 6+3 4 10 4+6, 5+5, 6+4 3 11 5+6, 6+5 2 12 6+6 1

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