Question

there are two boxes, the odd box containing 1 black marble and 3 white marbles, and the even box containing 2 black marbles and 4 white marbles. a box is selected at random

Answer 1

The answer is 7/24 and 8/17

Odd Box contain 1 black Marble and 3 White Marbles = 1B, 3W

Even Box contain 2 black marbles and 4 white marbles = 2B, 4W

(a) We have to find that probability that the marble is black

Pr (Black) = Pr(chosing Odd box) $\times$ Pr( choosing black ball) + Pr( Choosing Even Box) $\times$Pr( choosing Black ball)

= 1/2 $\times$ 1/4 + 1/2$\times$ 2/6 = 7/24

(B) Now we have that marble is white, probability that it came from even box.

Pr (Even Box l WHite) = Pr ( Even box and WHite) / Pr( WHite)

so, the probability that the ball come is white is Pr (white) = Pr(chosing Odd box)$\times$ Pr( choosing white ball) + Pr( Choosing Even Box) $\times$Pr( choosing white ball) = 1/2$\times$3/4 + 1/2 $\times$ 4/6 = 17/24

Pr ( Even box and white) = 1/2 $\times$4/6 = 1/3

so Pr (Even Box l WHite) = (1/3)/ (17/24) = 8/17

What is probability?

• Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.
• Probability has been introduced in mathematics to predict the likelihood of occurrences occurring.
• Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.
• To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

To learn more about probability  visit:

brainly.com/question/14210034?

#SP4