Consider the following. Two indistinguishable dice are rolled; both numbers are
ID: 3018053 • Letter: C
Question
Consider the following.
Two indistinguishable dice are rolled; both numbers are prime. (A positive integer is primeif it is neither 1 nor a product of smaller integers.)
Which of the following sets of elements are included in the sample space? (Select all that apply.)
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7)(5,5) (5,6)(7,7)(6,6) (6,7)(2,2) (2,3) (2,4) (2,5) (2,6) (2,7)(4,4) (4,5) (4,6) (4,7)(2,2) (2,3) (2,4) (2,5) (2,6)(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)(4,4) (4,5) (4,6)(3,3) (3,4) (3,5) (3,6)(3,3) (3,4) (3,5) (3,6) (3,7)(6,6)(5,5) (5,6) (5,7)
List the elements of the given event. (Select all that apply.)
(2,7)(3,5)(3,4)(5,5)(5,7)(2,4)(3,3)(2,2)(5,4)(2,5)(3,7)(2,3)
Explanation / Answer
S is the set of all outcomes when two dice are rolled. Written out, there would be 36 elements of the set, and it would look something like this (not all elements listed):
S = {(1,1), (1,2), (1,3), ………. , (1,6), (2,1), (2,2), (2, 3), ….., (2, 6), etc……}
S is almost the same set as above, but the dice are indistinguishable, so all the reverse elements won’t be in this time (so for example, would not be listed since is listed). The event space is
E = {(2,2), (2,3),(2,5), (3,3), (3,5), (5,5)}
Note that 1 is not prime number.