Using proportions, it is found that:
1. a) 1/5 of the marbles are red.
b) 40% of the marbles are yellow.
c) 60% of the marbles are not yellow.
d) 11/20 of the marbles are green or yellow.
2) Event A, B and C are the most likely, each with equal probabilities.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For the first problem, we have that there are 3 + 4 + 5 + 8 = 20 marbles, hence:
a) 4/20 = 1/5 of the marbles are red.
b) 8/20 x 100% = 0.4 x 100% = 40% of the marbles are yellow.
c) 12/20 x 100% = 0.6 x 100% = 60% of the marbles are not yellow.
d) 3 are green and 8 are yellow, hence 11/20 of the marbles are green or yellow.
A die has 6 possible outcomes, numbered 1 to 6, hence the probabilities(number of desired outcomes divided by number of total outcomes) are given as follows:
Event A, B and C are the most likely, each with equal probabilities.
More can be learned about proportions at https://brainly.com/question/24372153
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