The Starfleet Academy soccer team excels on muddy fields in the rain. The probab

Question

The Starfleet Academy soccer team excels on muddy fields in the rain. The probability that the Startleet Academy soccer team wins given that the tield is muddy is 0.75. The probability that the Startleet Academy soccer team wins given that the field is dry is 0.31 a. If the forecast for rain on game day has a 50% chance of rain, what is the probability that the Starfleet Academy team wins? 0.375 Submit Answer Incorrect. Tries 15 Previous Trles b. Name the one primary result that you used (or that could be used) to le the problem Axiorms of Probability Law of Total Probability Central Linit Theorern Submit Answer Tries 0/10

Explanation / Answer

a) Here the forecast for rain on the game day has a 50% chance of rain.
That is the chance of field will dry is 50% and chance of field will muddy is 50%.
Now probability of winning when field is muddy is 0.75 and probability of winning when field is dry is 0.31
Hence by rule of Total probability ,
Probability of winning is
= 0.75*50% +0.31*50%
= 0.75*0.5+0.31*0.5
=0.53

b)

Now here we used Law of Total Probability

so answer is second option

Law of Total Probability

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.