Respuesta :
Answer:
the probability is 1/12
Step-by-step explanation:
The probability, P(Tails) to get tails is equal to:
[tex]P(Tails)=\frac{1}{2}[/tex]
Because a penny have two possible options heads or tails and tails is one option.
Additionally, the probability P(3) that the number cube get a 3 is equal to:
[tex]P(3)=\frac{1}{6}[/tex]
Because the cube have 6 possible options and 3 is one option.
Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:
P(tails and 3) [tex]=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
First we calculate the probability of the coin tossed being a tails.
The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2
For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6
Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:
P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12