You have 8 balls. Each ball is labeled 1,2,3,4,5,6,7,8 and are inside of one bag. Imagine you randomly take 3 balls from the bag. What is the probability that the product of the three numbers on the balls you select is even?
The balls are numbered 1,2,3,4,5,6,7,8.
3 balls are chosen at random.
4 of them are odd and 4 are even.
The product will be even if minimum one of the balls numbered is even.
Total number of ways 3 balls can be drawn from a bag of 8 balls without replacement = 8P3 = 8! /(8-3)! = 8! / 5! = 8*7*6 = 336
Total number of ways the product is odd = Total ways all three balls drawn are odd = 4P3 = 4
Total number of ways the product is even = Total number of ways 3 balls can be drawn from a bag of 8 balls without replacement - Total number of ways the product is odd
Total number of ways the product is even = 336 - 4 = 332
P[ the product is even ] = Total number of ways the product is even / Total number of ways 3 balls can be drawn from a bag of 8 balls
P[ the product is even ] = 332/336 = 0.98809 = 0.99
P[ the product is even ] = 0.99
You have 8 balls. Each ball is labeled 1,2,3,4,5,6,7,8 and are inside of one bag. Imagine...
Suppose you have a bag with ten balls in it, and each ball has a digit printed on it: 0,1,2,3,4,5,6,7,8,9. So there is one ball for each of the ten digits 0-9. a) If you pull out three balls and set them aside, what is the probability that you pull out the numbers “5”, “0”, and “4”, in that order? (“5” is your first pull, “0” is your second, and “4” is your third). b) For part (a), what is...
You take one ball randomly from a bag with 10 yellow, 5 orange and 5 green balls. What is the probability that you take a yellow ball.
Discrete Math Question: Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob’s bag. Bob then randomly selects one ball from his bag and puts it into Alice’s bag. What is the probability that after this process the contents of the two bags are the same? (Hint: you can simplify your solution using ”without loss...
One bag contains 4 white and 2 black balls. Another contains 3white and 5 black balls. One ball is drawn from each bag. Find theprobability that both are of same colour.
There are 100 balls of the same shape and same weight in one bag. The balls' colors are different: 30 red balls, 20 yellow balls, 22 blue balls and 28 white balls. You are blindfolded and asked to draw three balls from the bag without replacement. Calculate the probability that there is exactly one red ball among the three balls.
A bag contains 3 red and 1 orange ball. You pick two balls from the bag with replacement. What is the probability that you will get two orange balls?
A ball is drawn from a bag containing 13 red balls numbered 1-13 and 3 white balls numbered 14-16. (Enter your probabilities as fractions.) (a) What is the probability that the ball is not even-numbered? (b) What is the probability that the ball is red and even-numbered? (c) What is the probability that the ball is red or even-numbered? (d) What is the probability that the ball is neither red nor even-numbered?
A bag contains 3 red and 1 orange ball. You pick two balls from the bag with replacement. What is the probability that you will get two orange balls? 1/4 0 1/12 1/16
A golf ball is selected at random from a golf bag. If the golf bag contains 1 green balls,6 brown balls, and 8 orange balls, find the probability of the following event. the golf ball is green or brown.
17) You are playing in a lottery where 3 balls are picked to determine the winner. There are a total of 30 balls and each ball is labeled with only one number from 1-30. The balls are not returned after they are drawn. a. What is the probability of the first ball being labeled with an odd number? b. Suppose you bought one ticket, what is the probability that if you chose 8-12-21 as your numbers that you will win?...