Question

two coins and one six sided number cube are tossed together. What is the probability of getting two heads and a four?

Answer 1

Answer:

The probability of getting two heads and a four is 1/24

Step-by-step explanation:

The probability of getting a head upon a single toss of a coin, assuming the coin is fair is 1/2.

The probability of getting two heads upon tossing two coins together will simply be the product of the individual probabilities;

P (HH) = 1/2 * 1/2 = 1/4

On the other hand, the probability of getting a four upon rolling a six sided number cube is;

1/6

This is because the number 4 occurs only once in a total possible of 6 numbers.

Therefore, the probability of getting two heads and a four;

P (HH4) = 1/2 * 1/2 * 1/6 = 1/24 since the three events are independent.