Charlotte is going to flip 3 quarters and lists the sample space in a tree diagram.
How many outcomes are possible from flipping 3 quarters?
(1 point)
Responses
12
1 half
4
4
8
8
64
64
Question 2
What is the probability that all 3 quarters will land showing the same side?(1 point)
Responses
2
2
1
1
14
1 fourth
18
1
answer both questions
For the first question, the number of outcomes possible from flipping 3 quarters can be found by listing out all the possible combinations of heads and tails for each coin. The tree diagram would have 2 branches at each level representing heads and tails, resulting in 2x2x2 = 8 possible outcomes.
For the second question, the probability that all 3 quarters will land showing the same side means that all 3 quarters show either all heads or all tails. There are 2 possible outcomes where all 3 quarters show the same side (either all heads or all tails) out of the total 8 possible outcomes, so the probability is 2/8 = 1/4 or 0.25.
shorten this
1. The number of possible outcomes from flipping 3 quarters is 8.
2. The probability that all 3 quarters will land showing the same side is 1/4 or 0.25.