John will toss a coin three times. What is the probability that the coin will land heads up all three times? express the probability ratio as a fraction and as a decimal
1/2*1/2*1/2
3.375
To find the probability of getting heads up all three times when tossing a coin, we need to determine the total number of possible outcomes and the number of favorable outcomes.
When tossing a coin, there are two possible outcomes for each toss: heads (H) or tails (T). Since the coin is tossed three times, we need to consider all the possible outcomes.
To find the total number of outcomes, we need to multiply the number of outcomes for each toss. Since there are two possible outcomes (H or T) for each toss, the total number of outcomes when tossing a coin three times is 2 * 2 * 2 = 8.
Now, let's determine the number of favorable outcomes, which is the number of ways we can get heads up all three times. There is only one outcome where we get heads up for each toss, which is HHH.
Therefore, the probability of getting heads up all three times is 1 favorable outcome out of 8 possible outcomes:
Probability = 1/8
As a decimal, this probability can be expressed as 0.125.