Question

You extract a ball at random from a box that contains:

10 Red Balls
30 White Balls
20 Blue Balls
15 Orange Balls

Determine the probability of extracting:

a) A white ball
b) Not blue
c) Orange or red
d) Red, white, or blue
e) Neither red nor blue

Answer 1

To calculate the probability of selecting a ball of a certain color from the box, divide the number of balls of that color by the total number of balls and reduce the fraction. Examples include P(White) = 2/5 and P(Not Blue) = 11/15.

Step-by-step explanation:

The subject question is regarding the concept of probability. Given a box that contains 10 Red Balls, 30 White Balls, 20 Blue Balls, and 15 Orange Balls, we need to find the probability of different events.

• a) A white ball: The probability is the number of white balls divided by the total number of balls, so P(White) = 30/(10+30+20+15) = 30/75 = 2/5.
• b) Not blue: This means the probability of selecting any color except blue, so P(Not Blue) = (10+30+15)/(10+30+20+15) = 55/75 = 11/15.
• c) Orange or red: This means the probability of selecting either an orange or a red ball, so P(Orange or Red) = (15+10)/(10+30+20+15) = 25/75 = 1/3.
• d) Red, white, or blue: This means the probability of selecting a red, white, or blue ball, so P(Red, White, or Blue) = (10+30+20)/(10+30+20+15) = 60/75 = 4/5.
• e) Neither red nor blue: This means the probability of not selecting a red or blue ball, which includes only white and orange balls, so P(Neither Red nor Blue) = (30+15)/(10+30+20+15) = 45/75 = 3/5.