Anumber cube is rolled and a coin is flipped. find the probabilities below

a) p(1 and heads)=
b) p(even and tails)=
c) p(5 or 6 and heads)=

The two events are independent, because the result of the number cube has no influence on the coin flipped, and vice versa. So, we can calculate the two probabilities independently and then multiply them.

So, we have:

P(1 and heads) = P(cube returns 1) * P(coin returns heads)

The probability of rolling 1 is 1/6, because there are 6 numbers on the cube, and they all have the same probability. Similarly, the probability of getting heads is 1/2, because it's either heads or tails with equal probability.

The other two exercises follow the exact same logic, you only need to count how many outcomes satisfy your request for both the cube and the coin, and multiply the probabilities:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide

move it to the other side

step-by-step explanation: