Question

What are the odds of picking an "m" in the word Mississippi?
1:09
1:10 <---
1:11
1:12

Theoretical probability is based on the assumption that all outcomes in the sample space occur randomly.

TRUE<----
FALSE

A bag contains 3 white marbles, 2 black marbles, and 5 red marbles. Find the probability of picking a black marble?
1/2
1/5
3/10<----
1/4

Josie had a choice of 3 breads, 3 choices of meat, and 5 choices of cheeses to make a sandwich. How many different sandwiches can she make?
9
30
15
45<----

A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a blue marble, replacing it, and then picking a black marble?
8/75
4/45<----
1/15
1/9

A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a red marble, replacing it, and then picking another red marble?

4/45
8/75
1/15
1/9<-----

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a red marble, do not replace it, and pick a green marble?
2/15<----
1/15
1/9
3/10

Think about a standard deck of 52 playing cards. Which of the following events is mutually inclusive?
Drawing a king or a queen.
Drawing a club or a black card. <------
Drawing a king or a 5.
Drawing a jack or a 10.

Think about a standard deck of 52 playing cards. Which of the following events is mutually exclusive?
Drawing a king or a queen. <----
Drawing a club or a black card.
Drawing a king or a heart.
Drawing a face card or a heart.

Answer 1

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 :
`(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 =
`(2)/(10)=(1)/(5)`

4.

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

`3*3*5=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.

Answer 2

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