(a) When one of these coins were selected at random and flipped, what is the probability that it shows heads? (b) If the flipped coin shows heads, what is the probability that it was the fair coin?
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- A. (a) In a school, 27% of the students failed in mathematics, 16% failed in physics and 9% failed both mathematics and physics. A student is selected at random, if the student failed in physics,what is the probability that the student failed in mathematics? What is the probability that the student failed mathematics or physics? (b) The probability of guessing at least 8 out of 10 correct answers in a true or false examination is 764. Check the trustworthiness of the answer. (c) A television news director wishes to use three news stories on an evening show. One story will be the lead story, one will be the second story, and last will be the closing story. If the director has a total of 8 stories to choose from, how many possible ways can the program be set up?e) A recent survey indicates that 7% of all motor bikes manufactured at Baloyi factory have defective lights. A certain company from Polokwane buys ten motor bikes from this factory. What is the probability that at least two bikes have defective lights?In the experiment of tossing a coin four times, what is the probability ofobtaining exactly 2 tails if it is known that the first and the last tosses are different?
- How would you make a probability assignment to this sample space if, when you drop 500 tacks,350 land flat side down?A fair coin is tossed 9 times. (A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads? (B) What is the probability of getting either 9 heads or 9 tails? ... (A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?(3) Seven different crime victims listened to voice recordings of four different suspects. If the voice identifications were made by random guess, find the probability that all the victims would select the same voice recording.
- A jar contains four coins: a 10-cent, a 25-cent, a 1-peso, a 5-peso. Three coins are randomly selected from the jar. List the simple events in S. What is the probability that the selection will contain 1-peso coin?An IRS auditor randomly selects 3 tax returns fro 49 returns of which 6 contain errors. What is the probability that she selects none of those containing errors?Suppose Emerson loses 26% of all checker games. (a) What is the probability that Emerson loses two checker games in a row? (b) What is the probability that Emerson loses five checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson loses five checker games in a row, but does not lose six in a row. (a) The probability that Emerson loses two chockor
- What is the probability of flipping a coin 5 times and getting heads on every flip, given that the coin is fair and has an equal chance of landing on heads or tails on each flip? And how does this probability change if the coin is flipped 10 times instead?In a study by the Department of Transportation, there were a total of 89 drivers that were pulled over for speeding. Out of those 89 drivers, 36 were men who were ticketed, 15 were men who were not ticketed, 4 were women who were ticketed, and 34 were women who were not ticketed. Suppose one person was chosen at random.(a) What is the probability that the selected person is a man who was not ticketed? (b) What is the probability that the selected person is a man who was ticketed?A new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of getting (a) an even number? (b) a number greater than 9? (c) an even number greater than 9? (d) an even number or a number greater than 9?