Suppose you toss a coin and roll a die. What is the probability of obtaining heads and a two?
1/2*1/6
To find the probability of obtaining heads and a two, we need to determine the individual probabilities of each event and multiply them together.
First, let's determine the probability of obtaining heads when tossing a coin. Since there are two possible outcomes, heads or tails, and assuming a fair coin, the probability of getting heads is 1 out of 2, or 1/2.
Next, let's determine the probability of rolling a two on a six-sided die. There is only one possible outcome of rolling a two, and there are six possible outcomes overall (one for each face of the die). So, the probability of rolling a two is 1 out of 6, or 1/6.
To find the probability of both events occurring, we multiply the probabilities together:
P(Heads and Two) = P(Heads) * P(Two)
= 1/2 * 1/6
= 1/12
Therefore, the probability of obtaining heads and a two when tossing a coin and rolling a die is 1 out of 12, or 1/12.