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

Answer:

Step-by-step 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)= $4C_{2} =\frac{4!}{4-2)!2!}$

=6

Required probability  P(E)=$\frac{n(E)}{n(S)} =\frac{4}{400} =\frac{1}{100}$

Answer 2

Answer:

$\frac{1}{25}$

Step-by-step explanation:

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