Answered: .Determine Whether the events are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

1.Determine Whether the events are mutually exclusive or not:
Drawing a card from an ordinary deck: Drawing a face card of hearts, and drawing a black card

a. Mutually Exclusive

b. Non-Mutually Exclusive

2. Identify whether the events are dependent or independent:

Generating codes using 3 letters and 3 digits with repetitions permitted

a. Dependent

b. Independent

3. Determine Whether the events are mutually exclusive or not:
Roll a die: Get an even number, and get a numberless than 3

a.Mutually Exclusive

b. Non-Mutually Exclusive

4. Identify whether the events are dependent or independent:
Drawing a card, replacing it, and drawing another card

a. Dependent

b. Independent

5.Given that n(s) is found to be 360 and n(E) is 60, what is the probability that the event E will happen?

a. 1/6

b. 21,600

c. 300

d. 6

6. There are 15 balls, each with unique color, in an urn. How many ways can 3 balls be drawn from the urn without replacement?

a. 3,375 ways

b. 15 ways

c. 2,730 ways

d. 45

7. How many ways can a 4-digit pin code be generated if it has to start with 1 and end with either 0 or 9 if repetition is allowed?

150

100

200

8. How many ways can a card be drawn from an ordinary deck such that it is a face card or an ace?

a. 20

b. 16

c. 30

d. 38

9. In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, how many ways can a junior or a senior student be selected?

a. 28

b. 24

c. 12

d. 30

10. Two dice are rolled. How many ways can a sum of 6 may result?

a. 6

b. 4

c. 5

d. 7