Question

The Venn Diagram shows the number of bike and skate club members who bike (circle on the left) or skate (circle on the right). Compute P (S | B) and write your answer as a decimal. P (S | B) = a0 ways.

Answer 1

If i think you are doing this by the "computer way" your answer would be 0.2 ways

Answer 2

Answer:

Step-by-step explanation:

The sample space, is the set of all children involved. Thus,

                  n(Samples space)=n(S)=6+15+4=25.

The letters S and C represent the sets "Swam" and "built castles", clearly.

Let

E_1, E_2, E_3, E_4, E_5,E_6

be the following events, with the following number of sets:

E_1: S.        n(E_1)= number of all those who swam =21.

E_2: S or C, but not both.        n()=6+4=10, because there are 6 of those who swam but not built castles, and 4 of those who built castles but not swam.

: C.         n(E_3)=15+4=19.

: S ∪ C.         n(E_4)=6+15+4=25.

: C, but not S.         n(E_5)=4, as there are only 4 who built castles but not swam.

: S ∩ C.         n(E_6)15, as they are 15 who built castles and swam.

The formula for the probability P(E)  of an event E is P(E)=n(E)/n(S).

Thus, the probabilities are as follows:

P(E_1)=n(E_1)/n(S)=21/25=0.84

P(E_2)=n(E_2)/n(S)=10/25=0.4

P(E_3)=n(E_3)/n(S)=19/25=0.76

P(E_4)=n(E_4)/n(S)=25/25=1.0

P(E_5)=n(E_5)/n(S)=4/25=0.16

P(E_6)=n(E_6)/n(S)=15/25=0.6