Mathematics, 26.11.2021 06:40 cody1097

# 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

Answers: 1

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