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Li rolls a number cube that has sides labeled 1 to 6 and then flips a coin. What is the probability that she rolls an odd number and flips tails?

Respuesta :

the possibility is 1/2

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]


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