Question

QUESTION 1

You flip a coin and roll a 10 sided die. How many elements are in the sample space?  

QUESTION 2

You flip a coin and roll a 10 sided die. What is the probability getting a tail and rolling a 5?

QUESTION 3

How many ways can you select 2 items from 20 if order does not matter?

QUESTION 4

How many ways can you select 2 items from 20 if order matters?

QUESTION 5

Suppose that we have a sample space S= {E?, E?, E?, E?, E?, E?, E?} where each E denotes a different sample point. The following probability assignments apply: P(E?)=.05, P(E?)=.2, P(E?)=.2, P(E?)=.25, P(E?)=.15, P(E?)=.1, P(E?)= .05. Let events A = {E?, E?, E?}, B = {E?, E?, E?} and C = {E?, E?, E?, E?}. Use this information to answer the next five questions.

Find P(C).

QUESTION 6

Find P(AUB).

QUESTION 7

Find P(A?B).

QUESTION 8

Are events A and C mutually exclusive?

QUESTION 9

Find P(B?).

All answers should be in decimal form and rounded at the second decimal place.

Answer 1

Ans1

In flipping a coin we have either Head, H or tail T, and when  10 sided die is rolled, So we have the sample space as

So 20 elements are in the sample space.

Ans 2

Required probability is  

Ans 3

The number of ways of selecting 2 items from 20 if the order does not matter is

Ans 4

The number of ways of selecting 2 items from 20 if the order does matter is