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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

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