Gitta is asked to find the probability of getting all heads on 3 coin tosses. This is a compound event.
2 answers:
1. P(getting all head)=
2. Event: getting all head can happen in only one way: HHH
3. n(Sample space) can be calculated by
a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE
or
b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.
4. So finally P(getting all head)=
2. Event: getting all head can happen in only one way: HHH
3. n(Sample space) can be calculated by
a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE
or
b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.
4. So finally P(getting all head)=
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Once you find a, you can use the Pythagorean Theorem to find b:
Or you can do:
You can find these functions on a scientific calculator. Let me now if you need more help.