Question

In: Statistics and Probability

An experiment consists of tossing a single die and observing the number of dots that show...

An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Events A, B, and C are defined as follows.

A: Observe a number less than 4.
B: Observe a number less than or equal to 2.
C: Observe a number greater than 3.

Find the probabilities associated with the events below using either the simple event approach or the rules and definitions from this section. (Enter your probabilities as fractions.)

(a)    S


(b)    A|B


(c)    B


(d)    A ? B ? C


(e)    A ? B


(f)    A ? C


(g)    B ? C


(h)    A ? C


(i)    B ? C

Solutions

Expert Solution

Solution: (a)    S

Answer: The sample space associated with the given random experiment is:

(b)    A|B

Answer: Here we have to find the probability of A given B:

The events associated with event A are and the events associated with event B are

  

(c)    B

Answer: The events associated with event B are

(d)    A ? B ? C

Answer: The events associated with event A are ,the events associated with event B are and the events associated with event C are

(e)    A ? B

Answer:

(f)    A ? C

Answer:

(g)    B ? C

Answer:

(h)    A ? C

Answer:

(i)    B ? C

Answer:

orchestra answered 2 years ago
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