Calculating Probability: Coin and Die Tossing Scenarios

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In summary, the probability of getting two heads when tossing a fair coin twice is 1/4. To get an even number on a fair die, the upface must be a tail (with probability 1/2) and the die must land on an even number (with probability 1/6). Therefore, the probability of an even number appearing is 1/2 x 1/6 x 3 = 1/4.
  • #1
e3027
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A fair coin is tossed. If the upface is a head, the coin is tossed again. If the upface is a tail, then a fair die is tossed.

1. Find P(2heads)
2. Find p(an even number appears)



2. Homework Equations ..none



My attempt at a solution...Probability of getting 1 head is 1/2. So two heads would be 1/2 times 1/2=1/4? And I have no idea for the 2nd question...please help!
 
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  • #2
Hint: What two things have to happen for an even number to appear? What are their probabilities? So...
 
  • #3
To get an even number, the upface should be tail (p=1/2) and roll an even number on a fair die (1/6x3even numbers on a die)... 1/2x1/6x3...so is 1/4 correct?
 
  • #4
Yes.
 

What is the probability of getting heads or tails when a fair coin is tossed?

The probability of getting heads or tails when a fair coin is tossed is 50%. This means that there is an equal chance of getting either outcome.

How does the outcome of a coin toss relate to the concept of randomness?

The outcome of a coin toss is considered to be random because it is impossible to predict whether the coin will land on heads or tails. This is due to the fact that the coin has an equal chance of landing on either side.

Can a fair coin land on its edge?

Technically, it is possible for a coin to land on its edge. However, the chances of this happening are extremely rare and would require very specific conditions, such as a perfectly balanced coin and a flat surface.

What happens if a fair coin is tossed multiple times?

If a fair coin is tossed multiple times, the probability of getting heads or tails remains the same for each toss. However, the outcomes may vary due to the random nature of the coin toss.

Can the outcome of a coin toss be influenced or controlled?

No, the outcome of a coin toss cannot be influenced or controlled. As long as the coin is fair and the toss is done in a truly random manner, the outcome will always be unpredictable.

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