you roll a sixsided die twice and add the numbers each of the following situatio

Question

you roll a sixsided die twice and add the numbers each of the following situations, describe a sample space S for the random phenomenon. a. You roll a six-sided die twice and add the numbers. b. You randomly pick a color from the rainbow [Hint: There are seven colors in the rainbow.] c. You flip a coin d. You roll a six-sided die twice and multiply the numbers e. You roll a bowling ball and record how many pins you knock down on your first roll [Hint: There a pins you are trying to knock down.] f. You roll a six-sided die once.

Explanation / Answer

a. The sum can take all values from 1+1 to 6+6.

S = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 }

b. S = {Violet, Indigo, Blue, Green, Yellow, Orange, Red}

c. S = {Heads, Tails}

d. The product ranges from 1*1 to 6*6.

S = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36}

e. There are 10 pins in a roll.

S = {0,1,2,3,4,5,6,7,8,9,10}

f. S = {1,2,3,4,5,6}

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