Let C1, C2, C3 be independent events with probabilities 1/2, 1/3, 1/4 respectivel Q.3. Compute P(CUC2ŪC3).
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- Consider a family with 4 children. Assume the probability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5, and that the events "boy" and "girl" are independent. (a) List the equally likely events for the gender of the 4 children, from oldest to youngest. (Let M represent a boy (male) and F represent a girl (female). Select all that apply.) MFFMFFMMMFFFFMFMMMMMFMFFFFMFFFFFFMMFFMMMMFMFMFMMFFFMMMFFMMFMMMMFConsider you have 6 buckets. Assume any bucket is likely to be occupied or availabe. What is the probabilities of Event A, at least two but no more than five buckets are occupied. Event B at least one is occupied.The break in an electric circuit occurs when at least one out of three elements connected in series is out of order. Compute the probability that the break in the circuit will not occur if the elements may be out of order with the respective probabilities 0.3, 0.4 and 0.6. How does the probability change if the first element is never out of order?
- Assuming that every time you roll dice the events are independent of each other (meaning that one roll does not affect the next roll), if you roll “5” three times in a roll, is it less likely that you will roll “5” on the next try compared to the tries before? Why not?8. Let A, B be two events with P(A) = ½, P(A − B) = 3, determine P(AB).The probability that Taylor Swift is Austin’s favorite music artist is .10. The probability that he will go to one of her concerts is .84. However, the probability that he does not like Taylor Swift and will go to a concert (because his wife makes him) is .75. a.) Write down the 3 pieces of information given in terms of probabilities involving event A (Taylor Swift is Austin’s favorite music artist) and event B (Austin will go to a Taylor Swift concert). b.) Summarize the above information using a probability table. c.) Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a Taylor Swift concert.
- Suppose, in an airport, there are three runways. In the ideal situation, the probabilities, 2/9, 1/6, and 11/18 represent the likelihood that individual runways 1, 2 and3 respectively are accessed by a randomly arriving commercial jet. If 6 airplanes are arriving at the airport then what is the probability that there are 2, 1, and 3 airplanes are accessed by runway 1, runway 2, and runway respectively.0. A box has 10 coins of which, 6 coins are fair, 4 coins are loaded such that the probability of getting a tail is 1/3 with each loaded coin. A coin is selected from the box at random and is tossed once with the result of tail. Find the conditional probability that the coin is fair.ANSWER D AND E ONLY
