Answer:
1.1348621526 X 10⁻¹³
Step-by-step explanation:
Number of Red balls=25
Number of Green balls=19
Number of Purple balls=30
Number of Blue=24
Total=25+19+30+24=98
Since the balls are picked with replacements, probability of picking a color will be the same all true.
P(Picking a red ball)= 25/98
P(Picking a green ball)= 19/98
P(Picking a purple ball)= 30/98
P(Picking a blue ball)= 24/98
P(2 red balls)= 25/98 X 25/98 = (25/98)²
P(5 green balls)= 19/98 X 19/98 X 19/98 X 19/98 X 19/98 =(19/98)⁵
P(10 purple balls)= 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 =(30/98)¹⁰
P( 5 blue balls) =24/98 X 24/98 X 24/98 X 24/98 X 24/98 =(24/98)⁵
P(2 red balls, 5 green balls, 10 purple balls, and 5 blue balls) = (25/98)² X (19/98)⁵ X (30/98)¹⁰ X (24/98)⁵
=1.1348621526 X 10⁻¹³
