(06.01)A bag contains 25 marbles of the same size that are yellow, green, and purple. The probability of picking a yellow marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a purple marble from the bag and then classify the probability of picking a purple marble as likely or not likely to occur.
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Assume that total number of marbles in the jar be x
Given that number of yellow marbles in a jar =10
Given that the probability of selecting a green marble = 4/1
Also, the probability of selecting a white marble = 3/1
We know that the total probability =1
Hence, Probability of selecting a yellow marble =1–(Probability of selecting a white marble + Probability of selecting a green marble)
So the probability of selecting a yellow marble =1−( 4/1 + 3/1 )=1− 12/7
= 12/5
--------(i)
But the probability of selecting a yellow marble =
Totalno.ofMarbles
No.ofYellowMarbles
= x/10
∴ 12/5
= x/10
[ from (i) ]
∴ x=24
Hence the total number of marbles =24
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