Question

Math Questions!

07.02 LC)

Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Based on the sample space, what is the probability of getting a total of 7?

4 over 36

5 over 36

6 over 36

8 over 36





(07.01 MC)

The number of chips of different colors in Gail's bag is shown below:
•3 blue chips
•4 pink chips
•8 white chips

Gail takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?

8 over 15 multiplied by 7 over 14 is equal to 56 over 210

8 over 15 plus 7 over 14 is equal to 217 over 210

8 over 15 plus 8 over 15 is equal to 16 over 15

8 over 15 multiplied by 8 over 15 is equal to 64 over 225





Sue used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:



Number on cube vs Number of times rolled

1 18
2 25
3 12
4 32
5 3
6 10


Heads = 56

Tails = 44




Using Sue's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up?

81 over 100

56 over 100

1400 over 10000

1100 over 10000

Answer 1

`Question \ 1)`


`Two \ numbers \ written \ in \ a \ certain \ order \ are \ known \ as`

`ordered \ pairs.`


`Ordered \ pair \ that \ add \ up \ to \ 7 \ (6,1) (5,2) (4,3) (3,4) (2,5) (1,6)`


`P(A)= (6)/(36)`


`Question \ 2)`
`3+4+8=15 \ Total \ number \ of \ chips`


`Where \ 8 \ represents \ = white`


`P(B)= (8)/(15)* (8)/(15) = (64)/(225) = Solution`


`Question \ 3)`


`Convert \ to \ fraction \ and \ muliply`


`The \ numerator \ in \ a \ fraction \ represents \ the \ number \ of \ pieces \`

`selected.`
`If \ the \\umerator \ is \ larger \ than \ the \ denominator, the \ number \ is \ larger \`
`than \ one.`


`The \ denominator \ in \ a \ fraction \ represents \ the \ total \ number \`

`of \ equal \ size \ pieces \ that \ make \ up \ a \ whole.`


`(25)/(100) * (56)/(100)= (1400)/(10000)`

Answer 2

`Q1.\\\Omega=\{(x;\ y)|\ x,\ y\in\{1;\ 2;\ 3;\ 4;\ 5;\ ;6\}\}\\\\\overline{\overline{\Omega}}=6\cdot6=36\\\\A=\{(1;\ 6);\ (2;\ 5);\ (3;\ 4);\ (4;\ 3);\ (5;\ 2);\ (6;\ 1)\}\\\\\overline{\overline{A}}=6\\\\P(A)=\frac{\overline{\overline{A}}}{\overline{\overline{\Omega}}}\Rightarrow P(A)=(6)/(36)\leftarrow Answer`



`Q2.\\3+4+8=15-number\ of\ all\ chips\\\\8\ white\ chips\\\\P(B)=(8)/(15)\cdot(8)/(15)=(64)/(225)\leftarrow Answer`



`Q3.\\25-number\ of\ 2\\56-number\ of\ heat\\100-number\ of\ all\\\\(25)/(100)\cdot(56)/(100)=(1400)/(10000)\leftarrow Answer`