1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlada [557]
3 years ago
11

PLEASE HELP!!!!!! This season, the probability that the Yankees will win a game is 0.46 and the probability that the Yankees wil

l score 5 or more runs in a game is 0.59. The probability that the Yankees win and score 5 or more runs is 0.39. What is the probability that the Yankees would score fewer than 5 runs when they lose the game? Round your answer to the nearest thousandth.
Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

Given:

Probability that the Yankees wins a game is

P(A) = 0.46

Probability that the Yankees loses a game is

P(A') = 1 - P(A') = 1 - 0.46 = 0.54

Probability that the Yankees scores 5 or more runs in a game is

P(B) = 0.59

Probability that the Yankees scores fewer than 5 runs in a game is

P(B') = 1 - P(B) = 1 - 0.59 = 0.41

Probability that the Yankees wins and scores 5 or more runs is

P(A⋂B) = 0.39

Applying the De Morgan's law, the probability that the Yankees scores fewer than 5 runs and they loses the game would satisfy:

1 - P(A'⋂B') = P(A) ⋃ P(B) = P(A) + P(B) - P(A⋂B)

or

1 - P(A'⋂B') = 0.46 + 0.59 - 0.39

or

1 - P(A'⋂B') = 0.66

=> P(A'⋂B') = 1 - 0.66 = 0.34

Applying the Bayes theorem, the probability that the Yankees would score fewer than 5 runs, given they lose the game:

P(B'|A')  = P(A'⋂B')/P(A')

or

P(B'|A') = 0.34/0.54 = 0.630

Hope this helps!

:)

You might be interested in
Write an equation of the line with a slope of 0 and y -intercept of 5 .<br><br> y=
ruslelena [56]

Answer:

y=-5

Step-by-step explanation:

5 0
2 years ago
A box resting on a table has a mass of 5.0 kg what is its weight
Delvig [45]
Multiply 5 by 9.8 to get the answer.
5 0
3 years ago
A ratio is in its simplest form 7:9.<br>if its consequent is 117, find the antecedent​
a_sh-v [17]

Answer:

Let the income and saving rs7x and respectively 2x

then

2x=500

Step-by-step explanation:

3 0
2 years ago
-2 (x + 4) – (3x – 8)<br> What it equals
Alja [10]

Answer:

-2x+-8-3x-8

Step-by-step explanation:

-2 times x =-2x  

-2 times 4=-8

8 0
2 years ago
Read 2 more answers
Solve : x/3-2/5 = 2x/15-3/5
svetoff [14.1K]

Step-by-step explanation:

x/3-2/5=2x/15-3x

5x-6=2x-9

5x-2x=-9+6

3x=-3

3x/3=-3/3

x=-1

6 0
2 years ago
Other questions:
  • Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
    10·2 answers
  • Explain how to find the mean of a data set
    5·2 answers
  • What is the advantage of buying the house over renting the apartment?
    7·2 answers
  • Answer 20 and 21 please
    13·1 answer
  • Carla is ordering pizzas for delivery. Each pizza costs $8 , and there is a $6 delivery charge per order.
    13·2 answers
  • Use the substitution method to solve the system of equations. Choose the
    5·2 answers
  • Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
    11·1 answer
  • yesterday Ron's donut shop sold one half as many chocolate donuts as cinnamon donuts if they sold 7/8 of a tray of cinnamon donu
    13·1 answer
  • What L is alternate interior at L6?<br><br> A. L3<br> B. L5 <br> C. L1<br> D. L4
    12·1 answer
  • I need help! Math isn’t my best subject
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!