The probability of getting both the marbles blue is [tex]\frac{1}{10}[/tex].
What is probability?
Probability is the chance that something will happen, or how likely it is that an event will occur.
Formula to calculate probability
[tex]P(A)= \frac{Number of favorable outcomes }{Total number of outcomes}[/tex]
Where, P(A) is the probability of an event.
According to the given question
we have
3 red marbles and 2 blue marbles
total number of marbles = 3+2=5
Let A be an event of getting both marbles are bule
therefore,
probability of getting first blue marble, = [tex]\frac{2}{5}[/tex]
probability of getting second marble blue = [tex]\frac{1}{4}[/tex]
(without replacement so, only one blue marble is left, and total 4 marbles are left)
so, the probability of getting both the marbles blue P(A) = [tex]\frac{2}{5}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{10}[/tex]
Hence, the probability of getting both the marbles blue is [tex]\frac{1}{10}[/tex].
Learn more about probability here:
https://brainly.in/question/5372704
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