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When a dice is rolled then a coin is tossed what is the probability of getting a 5 then tails?

To find the probability of rolling a 5 on a die and then tossing tails on a coin, we first determine the individual probabilities. The probability of rolling a 5 on a standard six-sided die is ( \frac{1}{6} ), and the probability of tossing tails on a coin is ( \frac{1}{2} ). Since these two events are independent, we multiply their probabilities: [ P(5 \text{ and tails}) = P(5) \times P(tails) = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}. ] Thus, the probability of rolling a 5 and then tossing tails is ( \frac{1}{12} ).


What is the expected number of flips of a coin to simulate a six-sided die?

Five coin flips. Any outcome on a six-sided die has a probability of 1 in 6. If I assume that the order of the outcome does not matter, the same probability can be achieved with five flips of the coin. The possible outcomes of five flips of a coin are as follows: 5 Heads 5 Tails 4 Heads and 1 Tails 4 Tails and 1 Heads 3 Heads and 2 Tails 3 Tails and 2 Heads For six possible outcomes.


The probability of getting a six on a six sided die and then getting a tails?

The probability of getting a six on a six sided die and then getting a tails is zero. There is no tails on a die.


A coin is tossed and a die is rolledwhat is the probability that the coin shows head and the die shows a two?

Prob(Coin shows H) = 1/2 Prob(Die shows 2) = 1/6 Prob(Both events) = 1/2 * 1/6 (because they are independent) = 1/12


What is the probability of obtaining tails and a three?

Assume the given event depicts flipping a fair coin and rolling a fair die. The probability of obtaining a tail is ½, and the probability of obtaining a 3 in a die is 1/6. Then, the probability of encountering these events is (½)(1/6) = 1/12.

Related Questions

What is the probability that the coin shows tails and the die shows a one?

3


Suppose that you toss a coin and roll and die What is the probability of obtaining tails?

The probability to tossing a coin and obtaining tails is 0.5. Rolling a die has nothing to do with this outcome - it is unrelated.


What is the probability of getting a tail on a coin and a 6 on a dice?

probability of tails on a coin is 1/2 probablility of 6 on a die is 1/6


A coin is tossed and then a die is rolled Find the probability of getting a 5 on the die given that the coin landed tails up?

9/2


What is the probability of rolling a 1 or 6 on a number cube and flipping tails on a coin?

The probability of flipping tails on a perfect coin in a perfect toss is 0.5. The probability of rolling 1 on a die is 1 in 6. Likewise, the probability of rolling 6 on a die is 1 in 6. So the probability of rolling either 1 or 6 is 2 in 6 (which is 1 in 3).


When a dice is rolled then a coin is tossed what is the probability of getting a 5 then tails?

To find the probability of rolling a 5 on a die and then tossing tails on a coin, we first determine the individual probabilities. The probability of rolling a 5 on a standard six-sided die is ( \frac{1}{6} ), and the probability of tossing tails on a coin is ( \frac{1}{2} ). Since these two events are independent, we multiply their probabilities: [ P(5 \text{ and tails}) = P(5) \times P(tails) = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}. ] Thus, the probability of rolling a 5 and then tossing tails is ( \frac{1}{12} ).


What is the expected number of flips of a coin to simulate a six-sided die?

Five coin flips. Any outcome on a six-sided die has a probability of 1 in 6. If I assume that the order of the outcome does not matter, the same probability can be achieved with five flips of the coin. The possible outcomes of five flips of a coin are as follows: 5 Heads 5 Tails 4 Heads and 1 Tails 4 Tails and 1 Heads 3 Heads and 2 Tails 3 Tails and 2 Heads For six possible outcomes.


The probability of getting a six on a six sided die and then getting a tails?

The probability of getting a six on a six sided die and then getting a tails is zero. There is no tails on a die.


A coin is tossed and a die is rolledwhat is the probability that the coin shows head and the die shows a two?

Prob(Coin shows H) = 1/2 Prob(Die shows 2) = 1/6 Prob(Both events) = 1/2 * 1/6 (because they are independent) = 1/12


What is the probability of obtaining tails and a three?

Assume the given event depicts flipping a fair coin and rolling a fair die. The probability of obtaining a tail is ½, and the probability of obtaining a 3 in a die is 1/6. Then, the probability of encountering these events is (½)(1/6) = 1/12.


Which numbers show an element of the sample space for first rolling a die and then tossing a coin?

(1,2,3,4,5,6][Heads,Tails] is a depiction of this notation. It is an expression of probability.


You roll a 6-sided die with faces numbered 1 through 6 and toss a coin. What is the probability of rolling a 5 or getting tails?

7-12