Seven probability questions. Understanding these does not come easy to me.
10. [-I1 Points] DETAILS BERRFINMATH1 5.4.003. MY NOTES A box contains .1 white, 2 red, and 4 black marbles. One marble is chosen at random. and it is not black. Find the probability that it is white. [Enter your answer as a fraction.) Additional Materials 11. [-/1 Points] DETAILS BERRFINMATH1 5.4.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that 60% of drivers are "careful" and 40%% are "reckless." Suppose further that a careful driver has a 0.1 probability of being in an accident in a given year, while for a reckless driver the probability is 0.3. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)12. [-/1 Points] DETAILS BERRFINMATH1 5.4.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two students are registered for the same class and attend independently of each other, student A 706: of the time and student B 608: of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in class that day? (Round your answer to three decimal places.)13. [-/1 Points] DETAILS BERRFINMATH1 5.4.007. For the experiment of tossing a coin twice, find whether events A: heads on the first toss B: different results on the two tosses are independent or dependent. independent dependent14. [-/3 Points] DETAILS BERRFINMATH1 5.4.009. Four dice are rolled. (a) Find the probability of getting all sixes. (Enter your answer as a fraction.) (b) Find the probability of getting all the same outcomes. (Enter your answer as a fraction.) (c) Find the probability of getting all different outcomes. (Enter your answer as a fraction.)8. [-/2 Points] DETAILS BERRFINMATH1 5.4.001. Use the given values to find the following. (Enter your answers as fractions.) P(A) = 0.5, P(B) = 0.5, P(An B) = 0.1 (@) P(A given B) (b) P(B given A)9. [-/2 Points] DETAILS BERRFINMATH1 5.4.002. Use the given value to find the following. (Enter your answers as fractions.) P(A) = 0.4, P(B) = 0.5, P(A V B) = 0.7 (a) P(A given B) (b) P(B given A)