Probability! how many possible outcomes are in the sample space for the event \"first roll a die, and then shoot a basket\"? i don't quite understand this question.. options: . a)16. b)12. c)2. d)6

Option: b is the correct answer.

The number of possible outcomes that are in the sample space for the event "first roll a die, and then shoot a basket\" are:

                 b)  12

As we know that there are total 6 outcomes on rolling a die.

The outcomes are:

{ 1, 2 , 3 , 4 , 5 , 6 }

Also, on shooting a basket there are two outcomes:

One is ball will go in the basket(B) and the other is it won't go into the basket(NB)

Hence, the sample space for the event:

"first roll a die, and then shoot a basket\" is given by:

(1,B)    (2,B)     (3,B)    (4,B)    (5,B)   (6,B)

(1,NB)    (2,NB)   (3,NB)    (4,NB)    (5,NB)   (6,NB)

         Hence, the number of outcomes are:

                      b)   12