Question

What is the probability of getting an odd number on a fair die and a tail on a coin flip?

Answer 1

The Correct answer is 1/4

Step-by-step explanation:

To find the probability of getting an odd number on a fair die and a tail on a coin flip, we need to multiply the probabilities of each event occurring.

Probability of getting an odd number on a fair die:

A fair die has 6 equally likely outcomes, with 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6). Therefore, the probability of rolling an odd number is 3/6 or 1/2.

Probability of getting a tail on a coin flip:

A fair coin has 2 equally likely outcomes, with 1 tail. Therefore, the probability of flipping a tail is 1/2.

To find the combined probability, we multiply the probabilities of each event:

P(odd on die and tail on coin) = P(odd on die) * P(tail on coin)

P(odd on die and tail on coin) = (1/2) * (1/2)

P(odd on die and tail on coin) = 1/4

Therefore, the probability of getting an odd number on a fair die and a tail on a coin flip is 1/4 or 0.25, which is equivalent to a 25% chance.

Answer 2

odd number on a fair die:
50%, as 1,3,5 are all odd and there are 6 sides on a die
tails: 50% as 2 sides.
But if you are asking together: for each possible side on the die, there is a possibility of heads or tails
1: H T
2: H T
3: H T
4: H T
5: H T
6: H T
so 12 possibilities.
to roll an odd number and have a coin land on tails
1: T
3: T
5: T
3 different possibilities satisfy that
so then the answer becomes: 3/12
so 25%
Hope This helps!