# A die is loaded, and it was determined that the probability distribution associated with the experiment of casting the die and observing which number falls uppermost is given by the table below.Simple EventProbability{1}0.2{2}0.17{3}0.14{4}0.17{5}0.2{6}0.12(a) What is the probability of the number being even?(b) What is the probability of the number being either a 1 or a 6?(c) What is the probability of the number being less than 4?

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A die is loaded, and it was determined that the probability distribution associated with the experiment of casting the die and observing which number falls uppermost is given by the table below.

Simple Event Probability
{1} 0.2
{2} 0.17
{3} 0.14
{4} 0.17
{5} 0.2
{6} 0.12
(a) What is the probability of the number being even?

(b) What is the probability of the number being either a 1 or a 6?

(c) What is the probability of the number being less than 4?
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Step 1

(a)

Probability of the number being even = sum of the probabilities of all even sample events.

P(2) +P(4) +P(6) =0.17+ 0.17+ 0.12 = 0.46

Step 2

(b)

Probability of the number being either a 1 or a 6 = probability of the sample event {1...

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