The tree diagram that represents the events is an illustration of probability and combination
The tree diagram
To draw the tree diagram, we make use of the following representations:
- H for heads
- T for tails
- R for red, Y for yellow, and B for blue.
See attachment for the tree diagram.
The sample space and the outcomes
From the tree diagram, the sample space is as follows:
S = {HR, HY, HB, TR, TY, TB}
The number of outcomes that represents "Toss a tail, spin yellow"
This is represented as: TY
From the sample space above, we have:
TY = 1
Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1
The probability
We have:
Hence, the probability of tossing tails and spinning yellow is 1/6
Read more about combination at:
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