Question

Suppose you flip a coin and roll a number cube. What is the probability of having tails come up on the coin and an even number on the number cube?

Answer 1

Assuming a fair coin and a fair 6-sided die.

Coin has 2 sides with equal probability, 50% each.

Die has 6 sides with equal probability, 1/6 odds for each side.

Odds of heads = 1/2.

Odds of die rolling 5 or greater (5 or 6) = 2/6.

The probability of both things happening is the multiplication of the probability of the two happening separately, or (1/2)*(2/6) = 1/6.

Answer 2

Answer:  The required probability is 25%.

Step-by-step explanation:  Given that a coin is flipped and a number cube is rolled.

We are to find the probability of getting a tail on the coin and an even number on the number cube.

The sample space for flipping a coin and rolling a number cube is given by

S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

⇒  n(S) = 12.

Let A denote the event of getting tail and an even number.

Then, A = {T2, T4, T6}

⇒ n(A) = 3.

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{12}=\dfrac{1}{4}\times 100\%=25\%.$

Thus, the required probability is 25%.