Using it's concept, the probabilities are given as follows:
a) Type A die and orange: 1/10 = 0.1.
b) Blue: 23/30
c) Type B, if blue: 8/23.
<h3>What is a probability?</h3>
A probability is calculated as the <u>number of desired outcomes in the experiment divided by the number of total outcomes in the experiment</u>.
For item a, the probability that a type A dice is chosen is:
3/5.
As there are 5 dices, 3 of type A and 2 of type B.
The probability that a type A dice comes up orange is:
1/6.
As it has six faces, one of which is orange.
Then the probability of an orange type A dice being chosen is:
3/5 x 1/6 = 1/10 = 0.1.
For item b, the probability of blue is divided as follows:
Hence the probability of a blue dice is:
p = 5/6 x 3/5 + 4/6 x 2/5 = 23/30
For item c, we apply the conditional probability, hence the probability is given as follows:
p = (4/6 x 2/5)/(23/30) = (8/30)/(23/30) = 8/23.
Dividing the probabilities of type B and blue by the probability of blue.
More can be learned about probabilities at brainly.com/question/14398287
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