Question

Consider tossing a coin and rolling a four-sided die (with the numbers 1 through 4 printed on the

sides)

I'm confused about this question's meaning.

It said that tossing a coin (and) rolling a four-sided die (with the numbers 1 through 4 printed on the sides)

It said tossing a coin AND rolling a four sided die. When there is a question like this, isn't it about finding tossing a coin and rolling a four sided die separately? Does it mean find tossing a coin, which is a four sided die?

I'm confused about this question's exact meaning. Please explain about the question in a easy way.

Answer 1

Solution: Actually here the question talks about two separate random experiments but we may be asked to perform these two simultaneously.

For example:

Consider tossing a coin and rolling a four-sided die (with the numbers 1 through 4 printed on the

sides). What is the probability of landing on the head side of the coin and rolling a 3 on the die.

Probability of head and 3 on a die is:

P(head and 3) = P(head) * P(3)

We multipy probabilities because we have two independent events.

We know that P(head) = 0.5

P(3)=0.25

Then P(3 and head)