Respuesta :
Here we have two parts of the question to deal with
The rolling of the dice
The flipping of the coin
Lets take the rolling of the dice
we know that the dice is a cube that is numbered 1 to 6
So the total number of options is 6
Now we need to find the odd numbers
which will be {1,3,5}
So there are 3 chances of getting odd number out of a total outcome of 6
Hence the probability of getting an odd number is given by the fraction
P(A) = [tex] \frac{3}{6} = \frac{1}{2} [/tex]
Now lets move on to the flipping of the coin
Here we have only two outcome option which is a head or a tail
Hence the probability of getting a tail is given by
P(B) = [tex] \frac{1}{2} [/tex]
Hence the probability of rolling a odd number and flipping a tail is given by
P(A).P(B) = [tex] \frac{1}{2} [/tex]×[tex] \frac{1}{2} [/tex]
=[tex] \frac{1}{4} [/tex]
