Question

There are 6 blue marbles, 7 black marbles, 4 orange marbles, and 3 green marbles in a bag. Once a marble is drawn, it is replaced. Find the probability of the outcome. P(two orange marbles in a row)

Answer 1

`(1)/(25)`

Explanation:

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Answer 2

Explanation:

step:- 1

The bag contains six blue marbles,seven black marbles , four orange marbles

and three green marbles

The total marbles contains in a bag 6+7+4+3=20

Two marbles can be drawn one after one with replacement

The total number of ways in which two cards drawn one after another with replacement

n(s) =20
`20 C_(1) X20 C_(1)=400`

The no of favorable cases n(E)=
`4C_(2) =(4!)/(4-2)!2!)`

=6

Required probability P(E)=
`(n(E))/(n(S)) =(4)/(400) =(1)/(100)`