In rolling a die, the probability of obtaining 2, 3, and 4 in three statistically independent throws is:
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In rolling a die, the
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- An experiment consists of rolling a fair 6-sided die twice. Each side has a number printed, 1 through 6. We record the numbers of the top side for both rollings. Find the probability of each of the following events. A= The total of two number is at most 3. B= Two tosses get same numbersTwo six-sided fair dice were flipped. Given that the first dice landed on a 4, what is the probability that the sum of two dice is equal to 7? A. 1616 B. 536536 C. 2323 D. 13A box contains 20 screws which are identical in size, but 12 of which are zinccoated and 8 of which are not. Two screws are selected at random, withoutreplacement.a. Find the probability that both are zinc coated.b. Find the probability that at least one is zinc coated.
- There are 25 marbles in an urn: 12 are green and 13 are yellow. You reach into the urn and randomly select 4 marbles without replacement. What is the probability that at least one of the marbles is green? A. 0.0565 B. 0.9269 C. 0.2713 D. 0.1200 E. 0.9435A math class consist of 25 students , 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. A male is selected , then two females b.a female is selected, the two males c. Two females are selected, then one male d. Three male are selected e. Three females are selectedA vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?
- The number of chips of different colors in Gail's bag is shown below: • 3 blue chips • 4 pink chips • 8 white chips Gail takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws? 8 7 56 %3D 15 14 210 7 217 15 14 210 16 15 15 15 8 8 64 %3! 15 15 225Assume that 50 percent are of type A, 20 percent of type B, and 30 percent of type C. It is known that 20 percent of seeds of type A, 50 percent of type B, and 80 percent of type C have germinated. A seed is selected at random. If the seed has germinated, what is the probability that it is of type A?From experience, the human resources director of a certain company estimates that, for a particular job opening, 80% of the applicants are qualified. To help in the selection process, a test has been designed so that a qualified applicant has an 85% chance of passing the test, while an unqualified applicant has only a 5% chance of passing. An applicant is selected at random. a. What is the probability that the applicant is qualified and will pass the test? b. If the applicant passed the test, what is the probability that he or she is unqualified for the job?
- Based on a survey, assume that 44% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.The probability that an adult possesses a credit card is .65. A researcher selects three adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card and third posseses it. Type your answer here:A box contains 100 light bulbs, 20 of which are defective. 5 of the bulbs are selected for inspection. Find the probability that at most two of them are defective. O a. 21/3125 O b. 1024/3125 Oc. 2944/3125 O d. 181/3125 O e. 64/3125