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
Temka [501]
3 years ago
11

A player of the National Basketball Association’s Portland Trail Blazers is the best free-throw shooter on the team, making 94%

of his shots. Assume that late in a basketball game, the player is fouled and is awarded two shots.a. What is the probability that he will make both shots? (to 4 declmals) b. What s the prabability that he will make at least one shct? (to 4 declmals) c. What is the probability that he will miss both shots? (to 4 decimals) int d. Late in a basketball game, a team aften intent onally fouls an apposing player in arder to stop the game clack. The usual strategy is to intentionally foul the other team's worst free-throw shooter Assume that the Partland Trail Blazers' cenber makes 56% of his free-throw shots. Calcuiate the probe ities for the center ad shown in perts a b) and c and show that intentionally fouling the Porte d Trail Blazers center is e er strategy then intentionally fouling Jamal Cr wford. Assu e as in parts(a) b) and e that two shots I be。О ed What is the probabiity that Portland Trail Blazers' center will make both shots? he Portiland Try is (to 4 declmals) What is the probabiity that Portland Trail Blazers' center will make at least one shat? (to 4 declmals) What is the probabiity that Portland Trail Blazers' center will miss both shots? (to 4 decimals)
Mathematics
2 answers:
g100num [7]3 years ago
8 0

Answer:

The data for the probabilities are shown in the table below.

- A represents the probability of making the two shots for each of the best and worst shooter on the Portland Trail Blazers' team

- B represents the probability of making at least one shot for each of the best and worst shooter on the Portland Trail Blazers' team.

- C represents the probability of not making any of the two shots for each of the best and worst shooter on the Portland Trail Blazers' team.

N | Best ||| Worst

A | 0.8836 | 0.3136

B | 0.9964 | 0.8064

C | 0.0036 | 0.1936

It becomes evident why fouling the worst shooter on the team is a better tactic. The probabilities of the best shooter making the basket over the range of those two free shots are way better than the chances for the worst shooter.

Step-by-step explanation:

Part 1

Probability of the best shooter of the National Basketball Association’s Portland Trail Blazers making a shot = P(B) = 94% = 0.94

Probability that he doesn't make a shot = P(B') = 1 - 0.94 = 0.06

a) Probability that the best shooter on the team makes the two shots awarded = P(B) × P(B) = 0.94 × 0.94 = 0.8836

b) Probability that the best shooter on the team makes at least one shot.

This is a sum of probabilities that he makes only one shot and that he makes two shots.

Probability that he makes only one shot

= P(B) × P(B') + P(B') + P(B)

= (0.94 × 0.06) + (0.06 × 0.94) = 0.1128

Probability that he makes two shots = 0.8836 (already calculated in part a)

Probability that he makes at least one shot = 0.1128 + 0.8836 = 0.9964

c) Probability that the best shooter on the team makes none of the two shots = P(B') × P(B') = 0.06 × 0.06 = 0.0036

d) If the worst shooter on the team, whose success rate is 56% is now fouled to take the two shots.

Probability of the worst shooter on the team making a shot = P(W) = 56% = 0.56

Probability that the worst shooter on the team misses a shot = P(W') = 1 - 0.56 = 0.44

Part 2

a) Probability that the worst shooter on the team makes the two shots = P(W) × P(W)

= 0.56 × 0.56 = 0.3136

b) Probability that the worst shooter on the team makes at least one shot.

This is a sum of probabilities that he makes only one shot and that he makes two shots.

Probability that he makes only one shot

= P(W) × P(W') + P(W') + P(W)

= (0.56 × 0.44) + (0.44 × 0.56) = 0.4928

Probability that he makes two shots = 0.3136 (already calculated in part a)

Probability that he makes at least one shot = 0.4928 + 0.3136 = 0.8064

c) Probability that the worst shooter makes none of the two shots = P(W') × P(W') = 0.06 × 0.06 = 0.1936

From the probabilities obtained

N | Best ||| Worst

A | 0.8836 | 0.3136

B | 0.9964 | 0.8064

C | 0.0036 | 0.1936

It becomes evident why fouling the worst shooter on the team is a better tactic. The probabilities of the best shooter making the basket over the range of those two free shots are way better than the chances for the worst shooter.

Hope this Helps!!!

Scorpion4ik [409]3 years ago
4 0

Answer:

so noun: probability

   the extent to which something is probable; the likelihood of something happening or being the case.

   "the rain will make the probability of their arrival even greater"

   h

   Similar:

   likelihood

likeliness

prospect

expectation

chance

chances

odds

possibility

   a probable or the most probable event.

   plural noun: probabilities

   "for a time revolution was a strong probability"

   h

   Similar:

   probable event

prospect

possibility

       good/fair/reasonable bet

       Mathematics

       the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

       "the area under the curve represents probability"

Phrases

in all probability — used to convey that something is very likely.

"he would in all probability make himself known"

Origin

late Middle English: from Latin probabilitas, from probabilis ‘provable, credible’ (see probable).

Translate probability to

Use over time for: probability

Step-by-step explanation:

You might be interested in
Anyone know the area of the blue area?
Studentka2010 [4]
First, find the area of the larger sector (the 360-130=230 degree sector), then add the area of the triangle.
area of the larger sector:(230/360)π*11.1²≈247.17
area of the triangle when two sides and the angle between the two sides are given: (absinФ)/2. In this case, a=11.1, b=11.1, Ф=130
(11.1*11.1*sin130)/2≈47.19
the total area is 247.17+47.19≈294.4
Please use your calculator to double check my numbers.
4 0
3 years ago
A scale drawing of a playground is shown below.
kolezko [41]
Hm... I think 440 Square feet..?
7 0
3 years ago
How do you solve this algebreically?<br> 3/8=x/20
Llana [10]

Answer:

7.5

Step-by-step explanation:

3/8 = x/20

3(20) = 8x

8x = 60

x = 60/8

x = 7.5

6 0
2 years ago
Michael mows 1/6 of an acre in 1/4 of an hour. How many acres does Michael mow per hour?
Igoryamba
Answer 4/6 of an acre, or 2/3 acres simplified.
5 0
3 years ago
Write 5,256 divided into 52 and show your work
Angelina_Jolie [31]
Set up you question 5256 divided by 56 then write the answer. Finally if you get a remainder put the answer then the remainder
8 0
3 years ago
Other questions:
  • okay so we have this problem of the week thing and this week our answer is 83 i need a algebra problem to equal to 83 can anyone
    15·1 answer
  • How would you find this answer?? Pls help me
    7·1 answer
  • 10° X 25.89 =<br> 10 x 25.89 =<br> 102 x 25.89 =<br> 103 x 25.89 =
    15·1 answer
  • How much more money is earned on a $2,500 investment at 2% annual compound interest for 5 years than a $2,500 investment at 2% s
    5·1 answer
  • Plz help on this question, I’ve got a mind blank
    7·1 answer
  • You have a bag of 130 strawberries. You eat 27 strawberries and then split the remaining strawberries between 4 friends. Which o
    11·1 answer
  • Help me asap !! please
    7·1 answer
  • Which expression is equivalent to 13 - (-21)?
    13·1 answer
  • Which set of coordinates represents a function​
    15·1 answer
  • MATCH EACH PLease quick
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!