katy will flip 3 pennies once.How many possible outcomes for this compound event are there?
What is the probability that all 3 pennies will land on tails?
HHH
HHT
HTH
HTT
THH
TTH
THT
TTT
So, what do you think?
There are 2^3 = 8 possibilities (permutations) if the order of appearance is important.
HHH
HHT
HTH
HTT
TTT
THT
TTH
TTT
There are 4 combinations (0,1,2 or 3 tails)
The probability of TTT is 1/8
To determine the possible outcomes for this compound event, we need to consider the number of possible outcomes for each individual coin flip and then multiply them together.
In the case of flipping a single penny, there are two possible outcomes: heads or tails. Since Katy is flipping three pennies, we can simply multiply this number by itself three times to calculate the total number of possible outcomes.
2 * 2 * 2 = 8
Therefore, there are 8 possible outcomes for this compound event.
To find the probability that all 3 pennies will land on tails, we need to determine the number of favorable outcomes (3 tails) and divide it by the total number of possible outcomes (8).
The number of favorable outcomes is only 1 (since for all 3 pennies to land on tails, they must all show tails). Hence, the probability can be calculated as follows:
1 (favorable outcomes) / 8 (possible outcomes) = 1/8
Therefore, the probability that all 3 pennies will land on tails is 1/8.