Ask Question
MathematicsMathematics
3 April, 21:01

Three friends (a, b, and

c. will participate in a round-robin tournament in which each one plays both of the others. suppose that p (a beats

b. = 0.7, p (a beats

c. = 0.9, p (b beats

c. = 0.3, and that the outcomes of the three matches are independent of one another. (a) what is the probability that a wins both her matches and that b beats c?.189 correct: your answer is correct. (b) what is the probability that a wins both her matches?.63 correct: your answer is correct. (c) what is the probability that a loses both her matches?.03 correct: your answer is correct. (d) what is the probability that each person wins one match? (hint: there are two different ways for this to happen.).588 incorrect: your answer is incorrect.

+1
Answers (1)
  1. 4 April, 00:31
    0
    A) P (A beats b) = 0.7 P (A beats C) = 0.9 Also P (b beats c) = 0.3

    P (A wins both of her matches and b defeats c) = 0.7 * 0.9 * 0.3 = 0.189

    B) P (A wins both of her matches) = 0.7 * 0.9 = 0.63

    C) P (A loses against b) = 1 - 0.7 = 0.3 and against c = 1 - 0.9 = 0.1

    P (A loses against b and c) = 0.1 * 0.3 = 0.03

    D) Probability that A wins one match = (A beats B and B beats C and C beats A) + P (A beats C and C beats B and B beats A)

    P = (A beats B) * P (B beats C) * P (C beats A) + P (A beats C) * P (C beats B) * P (B beats A) = (0.7) * (0.3) * (0.1) + (0.9) * (0.7) * (0.3) = 0.021 + 0.189 = 0.21
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Three friends (a, b, and c. will participate in a round-robin tournament in which each one plays both of the others. suppose that p (a ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
A tree casts a shadow 9 meters long. at the same time, a building 54 meters tall casts a shadow 21 meters long. to the nearest meter, what is the height of the tree?
Answers (1)
Which equation shows the result of substituting and expression for y from the first equation into the second equation for the given system? ly=x+5 ly-2x=2 (5 - X) - 2x = 2 (x + 5) - 2x = 2 (x + 5) + 2x = 2 (x + 5) - 2x = 0
Answers (1)
If pg=50 and gr = 15, then what is the value of g (p+r)
Answers (1)
In a function, every output value corresponds to exactly one input value true or false
Answers (1)
Which expression is equivalent to six over fifteen? 6 : 15 15 : 6 6 - 15 15 - 6
Answers (2)
New Questions in Mathematics
the width of a rectangle is 5 inches less than its length, and the area is 14 square inches. What are the length and width of the rectangle?
Answers (1)
Are these correct steps for solving 9x^2=108
Answers (1)
Write the expression as a single natural logarithm. 3 ln 3 + 4 ln b ln 96b4 ln (27 + b4) ln 36b ln 27b4
Answers (1)
Ralph sold brownies for $ 0.63 0.63 a piece in order to earn money to buy baseball cards. If the cards cost $ 1.35 1.35 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?
Answers (1)
The segments shown below could form a triangle 9,4,15 true or false
Answers (1)
Home » Mathematics » Three friends (a, b, and c. will participate in a round-robin tournament in which each one plays both of the others. suppose that p (a beats b. = 0.7, p (a beats c. = 0.9, p (b beats c. = 0.
Sign Up Forgot Password?