Answer:
2) The second option (the bag)
8) 36 desserts
9) HH, HT, TT, TH: 1/4
Step-by-step explanation:
2)
O - Not certain, it is possible to choose a green marble
O - Certain, all the numbers in the bag are less than 100, so the one you choose must be less than 105
O - Not certain, the spinner will not always land on the 10th letter of the alphabet
O - Not certain, the sum of the number cubes will not always be 12, depending on the number you roll
8)
Size: Small cup, Large cup, Regular cone, Waffle cone
Flavors: Vanilla, Cookies & Cream, Mint Chocolate
Toppings: Fudge, Sprinkles, Caramel sauce
With a small cup:
Small cup, Vanilla, Fudge
Small cup, Vanilla, Sprinkles
Small cup, Vanilla, Caramel sauce
Small cup, Cookies & Cream, Fudge
Small cup, Cookies & Cream, Sprinkles
Small cup, Cookies & Cream, Caramel sauce
Small cup, Mint chocolate, Fudge
Small cup, Mint chocolate, Sprinkles
Small cup, Mint chocolate, Caramel sauce
There are 9 options with a small cup
There are 4 possibilities for types of cups
Multiply
4 * 9
36
9)
The question is asking what would the sample space be of flipping a coin 2 times. You will not always alternate (heads, tails, heads, tails) when flipping a coin. This means that all of the possibilities are HH, HT, TT, TH.
Chance of getting heads = 1/2
Chance of getting tails = 1/2
Chance of getting 2 heads (divide by 2) = 1/4
Chance of getting 2 tails = 1/4
HH, HT, TT, TH: 1/4
.
, hence the common ratio is q = -4.