you flip a coin and then roll a fair six-sided die.what is the probability the coin lands heads and the die shows a one.
the correct answer is 1/12
u did that wrong ur supposed to find the probability of them both landing like that in the same time, not individually
To determine the probability of the coin landing heads and the die showing a one, we need to calculate the individual probabilities and then multiply them together.
Probability of the coin landing heads:
Since flipping a fair coin has two equally likely outcomes (heads or tails), the probability of the coin landing heads is 1/2.
Probability of the die showing a one:
Since rolling a fair six-sided die has six equally likely outcomes (numbers 1 through 6), the probability of rolling a one is 1/6.
To find the probability of both events occurring, we multiply the probabilities together:
P(coin landing heads and die showing a one) = P(coin landing heads) * P(die showing one)
P(coin landing heads and die showing a one) = 1/2 * 1/6 = 1/12
Therefore, the probability of the coin landing heads and the die showing a one is 1/12.