Question

A pair of 7 sided dice are tossed. What is the probability that at least one of the dice has a value greater than or equal to 5?

A jar contains 10 red marbles numbered 1 to 10 and 2 blue marbles numbered 1 to 2. A marble is drawn at random from the jar. Find the probability of the given event.
(a) The marble is red;
Your answer is :

(b) The marble is odd-numbered;
Your answer is :

(c) The marble is red or odd-numbered;
Your answer is :

(d) The marble is blue or even-numbered;
Your answer is :


Suppose that A and B are two independent events for which P(A)=0.28 and P(B)=0.84. Find each of the following:

A. P(A|B)=
B. P(B|A)=
C. P(AandB)=
D. P(AorB)=
(4 points)
Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
E:{ The difference of the numbers is 3 or more }
F:{ The sum of the numbers is even }
Find the following probabilities:
(a) P(E)=

(b) P(F)=

(c) P(E∩F)=

Are events E and F independent?

A. yes
B. no

Answer 1

Answer:

the probability of the given event.

(a) The marble is red

answer is : 10/18=5/9

(b) The marble is odd-numbered

answer is : (5+4)/18=9/18=0.5

(c) The marble is red or odd-numbered

answer is : (10+9-5)/18=14/18=7/9

(d) The marble is blue or even-numbered

answer is : (8+9-4)/18=13/18

Suppose that A and B are two independent events for which P(A)=0.28 and P(B)=0.84. Find each of the following:

A. P(A|B)=0.19

B. P(B|A)=0.666

C. P(AandB)=0.6

D. P(AorB)=0.2

Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:

E:{ The difference of the numbers is 3 or more }

F:{ The sum of the numbers is even }

Find the following probabilities:

(a) P(E)= 1/6

(b) P(F)=1/2

(c) P(E∩F)=1/12

Are events E and F independent?

A. yes

B. no

=One of the most important concepts in probability is that of independent events. Two events E and F are independent if the occurrence of event E does not affect the probability of event F.

Step-by-step explanation:

hope it helped