<h2>
Answer:</h2>
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
<h2>
Step-by-step explanation:</h2>
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
