Five balls numbered from 1 to 5 are placed into a bag.Some are grey and some are white.The balls numbered 2 and 3 are grey.The balls numbered 1, 4, and 5 are white.A ball is selected at random.Let X be the event that the selected ball is white, and let PX be the probability of X.Let not X be the event that the selected ball is not white, and let Pnot X be the probability of not X. (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5X =PXnot X =PnotX(b)Subtract.=−1PX (c)Select the answer that makes the sentence true.−1PX is the same as ▼(Choose one).CheckSave For LaterSubmit Assignment
Question
Five balls numbered from 1 to 5 are placed into a bag.Some are grey and some are white.The balls numbered 2 and 3 are grey.The balls numbered 1, 4, and 5 are white.A ball is selected at random.Let X be the event that the selected ball is white, and let PX be the probability of X.Let not X be the event that the selected ball is not white, and let Pnot X be the probability of not X. (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5X =PXnot X =PnotX(b)Subtract.=−1PX (c)Select the answer that makes the sentence true.−1PX is the same as ▼(Choose one).CheckSave For LaterSubmit Assignment
Solution
(a) The event X is the event that the selected ball is white. The outcomes for this event are the balls numbered 1, 4, and 5. So, we check these outcomes in the table. The probability of this event, PX, is the number of white balls divided by the total number of balls, which is 3/5 or 0.6.
The event not X is the event that the selected ball is not white, which means the ball is grey. The outcomes for this event are the balls numbered 2 and 3. So, we check these outcomes in the table. The probability of this event, Pnot X, is the number of grey balls divided by the total number of balls, which is 2/5 or 0.4.
Event Outcomes Probability 1 2 3 4 5 X ✔ ✔ ✔ =0.6 not X ✔ ✔ =0.4
(b) Subtracting PX from 1 gives 1 - 0.6 = 0.4.
(c) 1 - PX is the same as Pnot X. This is because the sum of the probabilities of all possible outcomes is always 1. So, the probability of not X is equal to 1 minus the probability of X.
Similar Questions
Eight balls numbered from 1 to 8 are placed into a bag.Some are grey and some are white.The balls numbered 2, 3, 4, 5, and 7 are grey.The balls numbered 1, 6, and 8 are white.A ball is selected at random.Let X be the event that the selected ball is white, and let PX be the probability of X.Let not X be the event that the selected ball is not white, and let Pnot X be the probability of not X. (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5 6 7 8X =PXnot X =PnotX(b)Subtract.=−1PX (c)Select the answer that makes the sentence true.−1PX is the same as ▼(Choose one).CheckSave For LaterSubmit Assignment
A wheel has 5 equally sized slices numbered from 1 to 5.Some are grey and some are white.The slices numbered 2 and 3 are grey.The slices numbered 1, 4, and 5 are white.The wheel is spun and stops on a slice at random.Let X be the event that the wheel stops on a white slice, and let PX be the probability of X.Let not X be the event that the wheel stops on a slice that is not white, and let Pnot X be the probability of not X. (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5X =PXnot X =PnotX(b)Subtract.=−1PnotX (c)Select the answer that makes the sentence true.−1Pnot X is the same as ▼(Choose one).
A bag contains 5 red, 3 green, and 5 black balls. A ball is drawn at random from the bag. Find the probability that the ball is "not red"
We have a deck of 10 cards numbered from 1 to 10.Some are grey and some are white.The cards numbered 3 and 10 are grey.The cards numbered 1, 2, 4, 5, 6, 7, 8, and 9 are white.A card is drawn at random.Let X be the event that the drawn card is grey, and let PX be the probability of X.Let not X be the event that the drawn card is not grey, and let Pnot X be the probability of not X.(a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5 6 7 8 9 10X =PXnot X =PnotX(b)Subtract.=−1PnotX (c)Select the answer that makes the sentence true.−1Pnot X is the same as ▼(Choose one).CheckSave For LaterSubmit Assignment
A dartboard has 5 equally sized slices numbered from 1 to 5.Some are grey and some are white.The slices numbered 3 and 4 are grey.The slices numbered 1, 2, and 5 are white.A dart is tossed and lands on a slice at random.Let X be the event that the dart lands on a grey slice, and let PX be the probability of X.Let not X be the event that the dart lands on a slice that is not grey, and let Pnot X be the probability of not X. (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5X =PXnot X =PnotX(b)Subtract.=−1PX (c)Select the answer that makes the sentence true.−1PX is the same as ▼(Choose one).
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.