Jo flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}.

How many possible outcomes are in the sample space of this experiment?

A. 4

B. 8

C. 12

D. 36

Respuesta :

Answer:

Option C

Step-by-step explanation:

A coin has two outcomes Head (H) and tail (T).

So, the number of outcomes when a coin is tossed = 2

A coin has six outcomes [tex]\left \{ 1,2,3,4,5,6 \right \}[/tex]

So, the number of outcomes when a coin is tossed = 6

Therefore, possible outcomes when Jo flips a coin and then rolls a 6-sided die are [tex]\left \{ H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6 \right \}[/tex]

So, the number of possible outcomes = 12

Option C. is correct.

Using the concept of sample space, it is found that the number of possible outcomes in the experiment is given by:

C. 12

The sample space of an experiment is the set that contains all possible outcomes.

In this problem:

  • For the coin, there are 2 outcomes.
  • For the dice, there are 6 outcomes.

The coin and the dice are independent, thus, there are 2 x 6 = 12 possible outcomes, which means that the correct option is:

C. 12

A similar problem is given at https://brainly.com/question/15006554