The probability that both marbles picked are blue is 5/22.
Bag has 6 blue marbles, 4 red marbles and 2 green marbles.
What is the Probability?
Probability defines the likelihood of occurrence of an event. There are many real-life situations in which we may have to predict the outcome of as event. We may be sure or not sure of the results of an event. In such cases, we say that there is a probability of this event to occur or not occur.
Total chances of getting 2 marbles at a time without replacement out of 12 marbles = [tex]\frac{12X11}{2X1} = 66[/tex]
Chances of getting 2 blue marbles at a time without replacement out of 6 blue marbles =[tex]\frac{6X5}{2X1} = 15[/tex]
Probability of both marbles picked are blue =[tex]\frac{15}{66}[/tex]
= 5/22
Thus, the probability that both marbles picked are blue is 5/22.
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