Developing Expert Voices Question #2

1. Question # 2

2. Sailor moon and the sailor scouts; Mercury, Jupiter, Venus and Mars. Goes
to attack Trouble riding on the dinosaur, when attacking Mercury attacks
15%, Jupiter attacks 17%, Venus attacks 20%, Mars attacks 25 %and Sailor
moon attacks 23% of the time. Of the attacks made Mercury misses 32%,
Jupiter hits 75%, Venus misses 15%, Mars hits 90%, Sailor moon misses 0%
of the time. Create tree diagram.
(A) what is the sample space?
(B)If the monster was hit what is the probability that it was by Mercury?

3. Tree Diagram
Percent chance of them Mercury
attacking, in decimals.
15
0.
0.1
7 Jupiter
0.20 Venus
0.25
Mars
0.
2 3
Sailor Moon

4. Percent chance of them
Tree Diagram hit or miss, in decimals.
0.68 Hit
Percent chance of them Mercury
attacking, in decimals.
0.32
5
Miss
1
0.
0.75 Hit
0.1
7 Jupiter 0.25
Miss
0.85 Hit
0.20 Venus 0.1
5
Miss
0.25 0.90 Hit
Mars 0.10
Miss
0.
23 1.00 Hit
Sailor Moon 0.00
Miss

5. (A) what is the sample space?
First of all what is sample space?
Sample space is a list of possible outcomes.

6. (A) what is the sample space?
First of all what is sample space?
Sample space is a list of possible outcomes.
That's one out come: Mercury hit
0.68 Hit
Mercury 0.32
15
0.
Miss
0.75 Hit
0.1
7 Jupiter 0.25
Miss
0.85 Hit
0.20 Venus 0.1
5
Miss
0.25 0.90 Hit
Mars 0.10
Miss
0.
23 1.00 Hit
Sailor Moon 0.00
Miss

7. (A) what is the sample space?
First of all what is sample space?
Sample space is a list of possible outcomes.
That's one out come: Mercury hit
0.68 Hit
Mercury 0.32
15
0.
Miss
0.75 Hit
7 Jupiter Sample space: { Mercury hit, Mercury miss,
0.1 0.25
Miss Jupiter hit, Jupiter miss, Venus hit, Venus miss,
Mars hit, Mars miss, Sailor moon hit, Sailor
0.85 Hit
0.20 Venus 0.1
moon miss}
5
Miss
0.25 0.90 Hit
Mars 0.10
Miss
0.
23 1.00 Hit
Sailor Moon 0.00
Miss

8. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)

9. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability
that Mercury hit and all the
other hits.
0.68 Hit
Mercury 0.32
15
Miss
0.
0.75 Hit
0.1
7 Jupiter 0.25
Miss
0.85 Hit
0.20 Venus 0.1
5
Miss
0.25 0.90 Hit
Mars 0.10
Miss
0.
23 1.00 Hit
Sailor Moon 0.00
Miss

10. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
15
Miss
0.
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss
0.20
0.85 Hit 0.20 x 0.85 = 0.17
Venus 0.1
5
Miss
0.25 0.90 Hit 0.25 x 0.90 = 0.225
Mars 0.10
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss

11. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
P( Mercury | hit ) = P ( Mercury hit )
15
Miss
0.
P(hit)
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss
0.20
0.85 Hit 0.20 x 0.85 = 0.17
Venus 0.1
5
Miss
0.25 0.90 Hit 0.25 x 0.90 = 0.225
Mars 0.10
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss

12. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
P( Mercury | hit ) = P ( Mercury hit )
15
Miss
0.
P(hit)
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss = 0.102
0.85 Hit 0.20 x 0.85 = 0.17
0.102 + 0.1275 + 0.17 + 0.225 +0.23
0.20 Venus 0.1
5
Miss
Hit 0.25 x 0.90 = 0.225 P(Mercury | hit) = 0.102
0.25 0.90
Mars 0.10 0.8545
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss

13. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
P( Mercury | hit ) = P ( Mercury hit )
15
Miss
0.
P(hit)
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss = 0.102
0.85 Hit 0.20 x 0.85 = 0.17
0.102 + 0.1275 + 0.17 + 0.225 +0.23
0.20 Venus 0.1
5
Miss
Hit 0.25 x 0.90 = 0.225 P(Mercury | hit) = 0.102
0.25 0.90
Mars 0.10 0.8545
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss P(Mercury | hit) = 0.1194
= 11.94%

14. Question # 2
Solved!!

15. Attachments
salior monn.jpg