Answer:
The probability is 0.535
Step-by-step explanation:
Given that a box contains 6 red and 5 blue marbles. another box contains 5 red and 8 blue marbles. one box is selected at random and from that bag, one marble is drawn.
we have to find the probability that the marble drawn is blue.
[tex]Probability=\frac{\text{Favourable outcomes}}{\text{Total number of outcomes}}[/tex]
The probability can be find by formula
=P(first box)P(blue marble drawn from box 1)+P(second box)P(blue marble drawn from box 2)
[tex]=\frac{1}{2}\times \frac{5}{11}+\frac{1}{2}\times \frac{8}{13}[/tex]
[tex]\frac{5}{22}+\frac{8}{26}[/tex]
[tex]\frac{153}{286}=0.535[/tex]
