Question

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

Answer 1

b is the answer as it is given in my text i discussed with my teacher too

Answer 2

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

Explanation:

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