Answer:
Probability of all 4 balls drawn should be green equal to ≈ [tex]0.089[/tex].
Step-by-step explanation:
Given that,
An urn contains 6 green and 5 pink balls.
Now, Total number of balls in urn is [tex]6+5=11[/tex] balls.
Four balls are randomly drawn from the urn in succession, with replacement.
So, probability of green ball = [tex]\frac{6}{11}[/tex]
Again, there is a condition that,
Probability all 4 balls drawn should be green.
Then, P(all 4 balls should be green)= [tex]\frac{6}{11} \times \frac{6}{11} \times \frac{6}{11}\times \frac{6}{11}[/tex]
= [tex](\frac{6}{11} )^{4} = \frac{6^{4} }{11^{4} }[/tex]
= [tex]\frac{1296}{14641} = 0.08851[/tex]
≈ [tex]0.089[/tex]
Therefore,
Probability of all 4 balls drawn should be green equal to ≈ [tex]0.089[/tex].
