Question

A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled

Answer 1

Answer:

9/104

Step-by-step explanation:

A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled?

 

There must be 65 marbles in the bowl because  5  and 13  have the lowest common multple  of  65....  

3/13  =  15/65      and    2/5  =  26/65    

So      

15 are red,  26 are blue and  65 - 15 - 26  =  24 are green    

So...the probability of selecting green and then red  =    

(24/65) (15/64)   =   (24/64) (15/65)   =  ( 3/8) (3/13)  =     9 /  104

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- secretivepoems