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Experiment of tossing a coin twice

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Reference no: EM132596521

1.Use the given values to find the following. (Enter your answers as fractions.)PPBPAB(a)    PAB(b)    PBA

(A) = 0.5,  () = 0.5,  ( ∩ ) = 0.3

( given )

( given )

2.Use the given value to find the following. (Enter your answers as fractions.)

P(A) = 0.4,  P(B) = 0.5,  P(A ∪ B) = 0.6

(a) P(A given B)

(b) P(B given A)

3.A box contains 4 white, 3 red, and 5 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.)_______________

4.Suppose that 60% of drivers are "careful" and 40% are "reckless." Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver the probability is 0.4. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)___________

5.Two students are registered for the same class and attend independently of each other, student A 70% of the time and student B 60% 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.)______________

6.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
  • dependent  

7.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.)

 

Reference no: EM132596521

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