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Q. Find Probability of tossing a head with the dime?
List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of tossing a head with the dime?
Solution: This example is more complicated than example 1. Use a tree diagram to list the possibilities.
Notice that there are four branches to the tree and each branch shows a possible outcome. We can also list the possibilities like this:
S = {(H, H), (H, T), (T, H), (T, T)}
n(S) = 4
Let A be the event of tossing a head with the dime. Then A = {(H, H), (T, H)} and n(A) = 2.
The probability of tossing a head with the dime is:
Now come to addition and subtraction of rational expressions. Following are the general formulas. (a/c) + (b/c) = (a + b)/c
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