True or False - Answer the following questions as either True or False. (a) One

Question

True or False - Answer the following questions as either True or False. (a) One ball if randomly selected out of an urn containing red, blue, green, and black balls. It is possible that the probabilities of selecting a red ball is 0.2, a blue ball is 0.4, a green ball is 0.1, and a black ball is 0.4 TRUE or FALSE (b) Given that there are 3 red balls, 6 blue balls, 2 green balls, and 4 black balls in the urn. The probability of randomly selecting a ball that begins with the letter “b” is 2/3. TRUE or FALSE. (c) Given the same urn as in part (b). Suppose you select two balls at random from the urn. The probability that the color of both balls begins with the letter “b” is 1/5. TRUE or FALSE

can i get a explanation to how you got the answers

Explanation / Answer

a) Sum of all the probabilities = 0.2 + 0.4 + 0.1 + 0.4 = 1.1

But the maximum sum of all the probaabilities can be 1. Hence,

The answer is FALSE.

b) P(Selecting ball begin with a letter b)

= P(Selecting blue or black ball)

= 10/15

= 2/3

Hence,

The answer is TRUE.

c) P(Selecting two balls with the letter b)

= 10C2 / 15C2

= 3/7

Hence,

The answer is FALSE.

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