A box contain 10 green pins 3 are blue and 7 are green. Two pins are randomly taken out of the box without replacement work out the probability that both pins are the same color…

Question

asked Sep 23, 2022 77.7k views

1 Answer

Vijayendra Bapte · Answer 1 · 2022-09-28T05:53:34+0000

Answer:

P(Z)=(8)/(15)

Explanation:

From the question we are told that:

Sample size
n=10

Green pins
x=7

Blue pins
y=3

Generally the probability of getting two green is mathematically given by

P(2X)=(7)/(10)*(6)/(9)

P(2X)=(7)/(15)

Generally the probability of getting two blue is mathematically given by

P(2Y)=(3)/(10)*(2)/(9)

P(2Y)=(1)/(15)

Therefore the probability that both pins are the same color P(Z)

$P(Z)=P(2Y)+P(2X)\\P(Z)=(7)/(15)+(1)/(15)$

P(Z)=(8)/(15)