3 answers
(click or scroll down)
To find the probability of the result of a coin flip being heads and the sum of the two dice being 11, we need to find the individual probabilities of each event and then multiply them together.
1. Coin flip:
Since there are 2 possible outcomes (heads or tails) and they are equally likely, the probability of getting heads is 1/2.
2. Rolling two dice:
There are 36 possible outcomes when rolling two dice (6 possibilities for the first die and 6 possibilities for the second die). To determine the number of outcomes that sum to 11, we need to list them out:
(5,6), (6,5)
This gives us 2 successful outcomes out of 36 total outcomes.
Now, to find the probability of both events happening, we multiply the probabilities together:
P(coin flip = heads) * P(dice sum = 11) = 1/2 * 2/36 = 1/2 * 1/18 = 1/36
Therefore, the probability of the result of a coin flip being heads and the result of rolling the two dice summing to 11 is 1/36.