Question

There is a 40% chance that a school’s basketball team will make the playoffs this year. If they make the playoffs, there is a 15% chance that they will win the championship. There is also a 30% chance that the same school’s volleyball team
will make the playoffs this year. If the volleyball team makes the playoffs, there is a 30% chance that they will win the championship. What is the probability that at least one of these teams will win a championship this year?

Answer 1

the probability for the basketball team can be represented like somultiply along any path to find the probability of that outcome. Draw a similar diagram for the volleyball team, and add the probabilities of winning the championship for each team.

Answer 2

in the above, B is the basketball team making the playoffs, and C is them winning the championship

Answer 3

and I can't read questions right, sorry for the typo

Answer 4

what was the .6 for in the second diagram?

Answer 5

the 60% chance the basketball team doesn't make the playoffs. The branches need to add to 1 at each step, since the probability of an event happening, plus the probability of it not happening must be 1

Answer 6

do i need to make that diagram to get the outcomes for the other team as well?

Answer 7

yes, or at least work out the probability that they win the championship

Answer 8

ok so the probability of the basketball teams P(playoff and championship)=.06 right?

Answer 9

fir the basketball team, right
now you need to do the volleyball team and consider the union of the two events happening

Answer 10

is that the correct way to set up the chart?