Respuesta :

i think i get this. the coin would be 1/2 chance of heads and the cube is 1/6 
i hope this helped

Answer: [tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

The number of possible outcomes for a coin = 2

The number of possible outcomes for a number cube =6

When we flips a coin and rolls a standard number cube, the total number of possible outcomes will be :-

[tex]N=2\times6=12[/tex]

The favorable outcome for the coin will show heads and the cube will show a three (H,3)=1

Then , the required probability will be :-

[tex]\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}\\\\=\dfrac{1}{12}[/tex]

Hence, the the probability that the coin will show heads and the cube will show a three[tex]=\dfrac{1}{12}[/tex]