Suppose you toss a quarter, a dime, and a nickel into the air. What is the probability of all three landing on tails? What is the probability of the quarter landing on tails? (Hint: if you flip it once, that is your numerator. And how many ways it can land, is your denominator)

Answer 1

To find the probability of all three coins landing on tails, we first need to determine the probability of each coin landing on tails individually.

The probability of a quarter landing on tails is 1/2, as there are 2 possible outcomes (heads or tails) and 1 of them is tails.

Similarly, the probability of a dime landing on tails is also 1/2.

And the probability of a nickel landing on tails is also 1/2.

To find the probability of all three coins landing on tails, we multiply the probabilities of each coin landing on tails together:

(1/2) * (1/2) * (1/2) = 1/8

Therefore, the probability of all three coins landing on tails is 1/8.

The probability of the quarter landing on tails only is 1/2, because there are only 2 possible outcomes for the quarter (heads or tails) and 1 of them is tails.

Answer 2

Good job

Answer 3

Thank you! If you have any more questions or need further clarification, feel free to ask!