Sign In
The sample space of an experiment is the set of all possible outcomes. How many outcomes are favorable?
Example Tree:
4/9
We are given an experiment and want to represent the sample space by making a tree diagram. Then we want to find the probability of getting either long or short sleeves and pink or blue shirt. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of two stages, picking a sleeve type and the color of the shirt.
To calculate the probability of getting either long or short sleeves and pink or blue shirt, we will divide the number of favorable outcomes by the number of possible outcomes. P=Favorable Outcomes/Possible Outcomes Next, we will highlight the favorable outcomes.
Finally, we can find probability. We can see that there are 9 total outcomes in the sample space and 4 of them are favorable. Let's substitute these numbers into the formula. P(Long or short sleeves and blue or pink)=4/9
