Question

PLEASE CHECK MY ANSWERS

Answer 1

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

Answer 2

Answer:

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 : $\frac{1}{10}$

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 = $2+3+5=10$

So, the probability of picking a black marble is = $\frac{2}{10}=\frac{1}{5}$

4.

Multiply the number of breads by the number of meats, and the number of cheeses.  

$3\times3\times5=45$

5.

P(red) = $5/15$

P(blue) = $6/15$  

P(black) = $4/15$

So P(blue) * P(black) = $(6/15)*(4/15)=8/75$

6.

P(red) = $5/15$ = $1/3$

After replacing it, and then picking another red marble ; P(red) = $5/15$ = $1/3$

Now multiplying both we get :

$1/9$

7.

Total marbles = $4+3+3=10$

P(red) = 3/10

Not replacing the red and picking green; P(green) = 4/9

So, multiplying both we get = $2/15$

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.