An urn B1 contains 2 white and 3 black balls and another urn B2 contains 3 white and 4 black balls. One urn is selected at random and a ball is drawn from it. If the ball drawn is found black, find the probability?

Respuesta :

Answer:

First we find the probability of obtaining a black ball from the two urns B1 and B2,

take P(black) as the probability of obtaining a black ball

p(black) ball from B1 is [tex]\frac{3}{5} or = 0.6[/tex],

P(black) ball from B2 is [tex]\frac{4}{7} or = 0.57[/tex]

now we add the probability of obtaining black together which is;

3black+ 4 black=7 black balls

total balls= 12, now

we have p(black) =[tex]\frac{7}{12} or = 0.58[/tex]

Step-by-step explanation:

probability is given as the number of required outcome/number of possible outcome.