Subject: Engineering Data Analysis

Please solve all of the following questions. Thank you

1. Write the final answer in fraction(simplest) form or round it off into five significant places.

A lottery box contains lottery tickets numbered 0 to 100. If a lottery ticket is drawn at random, what is the probability that the number drawn

a) is a multiple of 3 or 5?

b) odd or a prime number?

2. Write the final answer in fraction(simplest) form or round it off into five significant places.

A drum contains 4 black balls, 5 red balls and 6 green balls. If 6 balls are selected at random what is the probability that the sample contains

(a) No red ball?

(b) Exactly 1 black ball?

(c) Exactly 1 red ball and exactly 2 green balls?

(d) all are of the same color?

3. Write the final answer in fraction(simplest) form or round it off into five significant places.

Three dice are thrown simultaneously. What is the probability of getting,

a) the sum of three numbers is exactly least eight?

b) that the two numbers are the same?

c)all numbers are greater than 4 and odd?

d) all three are of the same number or the sum is 6?

4. Write the final answer in fraction(simplest) form or round it off into five significant places.

Five cards are drawn in an ordinary deck of playing cards, find the probability of getting

a) all are black cards

b) of 2 face cards and 3 non-face cards

c) at least four hearts

5. Write the final answer in fraction(simplest) form or round it off into five significant places.

In a class of 267 seniors, 94 study Spanish, 95 study Chemistry, 165 study Mathematics, 18 study Spanish and Chemistry, 75 study Chemistry and Math, 20 study Math and Spanish and 15 study all three subjects. Make a Venn diagram to illustrate the data and then find the probability that a student selected at random studies:

a) either Chemistry or Math?

b) neither Spanish nor Mathematics?

c) at most 1 subject?

6. Write the final answer in fraction(simplest) form or round it off into five significant places.

A group of 12 students made up of 7 females and 5 males form a committee of 4.

a) What is the probability the committee is all male?

b) What is the probability that the committee consists of at most 2 females?

c) What is the probability the committee is made up of at least 1 female and at most 2 males?