The probability that the marble drawn will not be orange is option(A) [tex]\frac{5}{7}[/tex]
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given,
Number of red marbles = 7 marbles
Number of orange marble =12 marbles
Number of yellow marble = 18 marbles
Number of purple marbles = 5 marbles
Total marbles = 7+12+18+5 = 42 marbles
Total marbles without orange marble = 7+18+5 =30 marbles
Probability = Number of favorable outcome / Number of total outcome
Probability that the marble drawn will not be orange = [tex]\frac{30}{42}=\frac{5}{7}[/tex]
Hence, the probability that the marble drawn will not be orange is option(A) [tex]\frac{5}{7}[/tex]
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