SOLUTION: An ordinary die and a fair coin is thrown together show the possible outcomes on the possibility space diagram and find the probability that a. A head and 2 is obtained b. A ta

Question 1193725: An ordinary die and a fair coin is thrown together show the possible outcomes on the possibility space diagram and find the probability that
a. A head and 2 is obtained
b. A tail and 7 is obtained
c. A head and an even number is obtained
Answer by ikleyn(52848) (Show Source): You can put this solution on YOUR website!
.


The space of events is the set of all pairs of the form (a,L), where "a" is an integer number from 1 to 6 and "L" is a letter H or T.


The number "a" represents the outcome of thrown the die, while the letter L represents the outcome of tossing coin.


So, the space of events has 6*2 = 12 elements with the probability of    each.


Thus, in case (a)  the probability is  P = .


In case (b), the probability is 0 (zero), since the outcome "7" is impossible.


In case (c), the answer is   =  = .

Solved.

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