4. A maker of breakfast cereals plans to run a promotion in which an action figure is included in each box of cereal. The more popular figures will appear in fewer boxes. The probability of getting a box with each kind of toy is shown in the table below. | Toy | Serenity | Blackstar | Spartan | Kropp | | :--- | :--- | :--- | :--- | :--- | | Probability | 0.12 | 0.18 | 0.30 | 0.40 | What is the probability that the first two randomly selected boxes contain Serenity and Blackstar? A. 0.0216 B. 0.0432 C. 0.0468 D. 0.2784 E. 0.3000
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12 Probability of black star in the second box = 0.10 Multiply the probabilities: 0.12 * 0.10 = 0.012 Show more…
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A maker of breakfast cereals plans to run a promotion in which an action figure is included in each box of cereal. The more popular figures will appear in fewer boxes. The probability of getting a box with each kind of toy is shown in the table below. What is the probability that the first two randomly selected boxes contain Serenity and Blackstar?
Jason H.
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? nb(x; 2, 0.1) h(x; 2, 0.1) b(x; 2, 1, 10) b(x; 2, 0.1) h(x; 2, 1, 10) nb(x; 2, 1, 10) (b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most four boxes? (Round your answer to four decimal places.) (d) How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?
Sri K.
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.2. Suppose you purchase box after box until you have obtained four of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? h(x; 4, 0.2) nb(x; 4, 2, 10) b(x; 4, 2, 10) nb(x; 4, 0.2) h(x; 4, 2, 10) b(x; 4, 0.2) (b) What is the probability that you purchase six boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most six boxes? (Round your answer to four decimal places.) (d) How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?
Robin C.
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