If you flipped a coin once and rolled one die, what is the P(flip a head & roll a 6)?
my answer: 1/12
If you did this 36 times, how many times should you expect the outcome to be a head and a 6?
my answer: 6
am I right?
would it be 3?
the 1st is correct ... so why isn't the 2nd?
the 2nd one is confusing to me, so I guessed...
To calculate the probability of flipping a head and rolling a 6, we need to find the product of the individual probabilities.
The probability of flipping a head on a fair coin is 1/2 (since there are 2 possible outcomes, heads or tails, and they are equally likely).
The probability of rolling a 6 on a fair six-sided die is 1/6 (since there are 6 possible outcomes, and each has an equal chance of occurring).
To find the probability of both events happening together, we multiply the individual probabilities:
P(flip a head & roll a 6) = (1/2) * (1/6) = 1/12
So your answer of 1/12 for the first part is correct.
To calculate the expected number of times the outcome would occur if you repeated the experiment 36 times, you can multiply the probability of the event by the number of trials:
Expected outcome = Probability * Number of Trials
Expected number of times the outcome is a head and a 6 = (1/12) * 36 = 3
Therefore, you should expect the outcome to be a head and a 6 around 3 times if you repeat the experiment 36 times. Thus, your answer of 6 is not correct.