Question

In: Statistics and Probability

An ordinary six-sided die is tossed once and one slip of paper is randomly drawn from...

An ordinary six-sided die is tossed once and one slip of paper is randomly drawn from a jar containing 5 slips, each of which is lettered U, W, X, Y, or Z. (a) Write the complete sample space that describes all possible outcomes. (b) Determine the probability that the die will show a 6 and that the drawn slip of paper is a U or W. (c) Let A represent the event that the die shows a number greater than 4. Let B represent the event that the drawn slip of paper is not Z. Determine the probability that at least one of these two events occur.

Solutions

Expert Solution

There is a Six - Sided Fair Die with Possible Outcomes :

There are 5 slips each of which is lettered as :

( a ) The Complete Sasmple space will thus contain ( 6 X 5 ) = 30 elements

Therefore , the Sample Space is :

( b ) Probability that die will show a 6 and drawn slip is U or W

( c ) Event that die shows number greater than 4

Event that drawn slip is not Z

Probability that at least one of the two events occur :

..... Probability Axiom

orchestra answered 1 year ago

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