Question

a number cube is rolled and a coin is tossed what is the probability that a number greater than four is rolled and the coin comes up heads

Answer 1

`(1)/(6)`

Explanation:

In probability, "AND" means "multiplication" and "OR" means "addition".

Here, we are looking for probability of number greater than 4 "AND" probability of heads

so we find the individual probabilities and "multiply".

There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence

Probability of number greater than 4 is 2/6 = 1/3

Now,

In coin there is only head and tail, so probability of coming up heads is 1/2

Now we multiply both:

1/3 * 1/2 = 1/6

Hence

probability that a number greater than four is rolled and the coin comes up heads is 1/6