SOLUTION: A box contains six red jelly beans and two green ones.
I pick a jelly bean from the box without looking, record the color and put the bean back in the box. Then I choose a bean a
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I pick a jelly bean from the box without looking, record the color and put the bean back in the box. Then I choose a bean a
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Question 1139206: A box contains six red jelly beans and two green ones.
I pick a jelly bean from the box without looking, record the color and put the bean back in the box. Then I choose a bean again.
(a) Are the two events independent?
(b) What is the probability of getting the red bean both times and how do I enter the answer as a fraction? Answer by ikleyn(52847) (Show Source):
(a) The two events are independent.
It is clear without any science and without any calculations - since after first withdrawing the jelly returns back,
restoring the situation to its initial stage.
The second selection experimental step is the same as the first, and has the same basic conditions
as the first selection experimental step, and they are totally independent.
(b) The probability to get red jelly at the first step is = = ,
the same as to get red jelly at the second step.
The probability to get red at the first step and then to get red at the second step again is the product
= .
All questions are answered and the solution is completed.
