In the carnival game "chuck-a-luck", you pick a number from 1 to 6 and roll 3 dice in succession. If your number comes up all three times, you win $3; if your number comes up twice, you win $2; if it comes up once, you win $1; otherwise you lose $1. What is your expected value

42 cents

Step-by-step explanation:

Data provided in the question:

Random variable i.e gain  with values 3,2,1,-1.

Now,

The corresponding probabilities will be as follows:

Expected gain =

Expected gain =

≈ 42 cents

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

step-by-step explanation:

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