1. there are 11 letters total and 1 m so 1:11
2. true
3. 10 total marbles. 2 black so 2/10 = 1/5
4. 3 x 3 x 5 = 45
5. 15 marbles so 6/15 black 4/15 blue = 8/75
6. 15 marbles so 5/15 red 5/15 x 5/15 = 1/9
7. 3/10 x 4/9 = 2/15
8. Drawing a club or a black card
9. Drawing a king or a queen
1.
The odds are the ratios that compare the number of ways the event can occur to the number of ways the event cannot occur.
Here Mississippi has = 11 letters
There is 1 M.
So, the odd will be is : [tex]\frac{1}{10}[/tex]
1 way to occur and 10 ways to not occur.
2. Theoretical probability is based on the assumption that all outcomes in the sample space occur randomly.
TRUE
3.
Total marbles = [tex]2+3+5=10[/tex]
So, the probability of picking a black marble is = [tex]\frac{2}{10}=\frac{1}{5}[/tex]
4.
Multiply the number of breads by the number of meats, and the number of cheeses.
[tex]3\times3\times5=45[/tex]
5.
P(red) = [tex]5/15[/tex]
P(blue) = [tex]6/15[/tex]
P(black) = [tex]4/15[/tex]
So P(blue) * P(black) = [tex](6/15)*(4/15)=8/75[/tex]
6.
P(red) = [tex]5/15[/tex] = [tex]1/3[/tex]
After replacing it, and then picking another red marble ; P(red) = [tex]5/15[/tex] = [tex]1/3[/tex]
Now multiplying both we get :
[tex]1/9[/tex]
7.
Total marbles = [tex]4+3+3=10[/tex]
P(red) = 3/10
Not replacing the red and picking green; P(green) = 4/9
So, multiplying both we get = [tex]2/15[/tex]
8.
Two events are mutually inclusive when they can both occur simultaneously.
Answer : Drawing a club or a black card.
You cannot draw picture cards and number cards together, so other options are wrong.
9.
Two events are mutually exclusive when they cannot both occur simultaneously.
Answer : Drawing a king or a queen.
You cannot draw both king and queen together. But you can draw a heart king or a heart queen card.
