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
lara [203]
3 years ago
7

Sarah and thomas are going bowling. the probability that sarah scores more than 175 is 0.4, and the probability that thomas scor

es more than 175 is 0.2. their scores are independent. (a) find the probability that both score more than 175 (b) given that thomas score more than 175, the probability that sarah scores higher than thomas is 0.3. find the probability that thomas scores more than 175 and sarah scores higher than thomas
Mathematics
1 answer:
pychu [463]3 years ago
7 0

When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;

\\  
P(A\cap B)=P(A)\times P(B)

where, P(A) = probability of occurrence of event A

and P(B) = probability of occurrence of event B

(a).

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

and P(B)= Probability that Thomas scores more than 175 = 0.2

Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,

\\  
P(A\cap B)=P(A)\times P(B)\\  
P(A\cap B)= 0.4\times 0.2= 0.08\\

Hence, the required probability is 0.08

(b).

When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;

\\  
P(A\cap B)=P(A)\times P(B\setminus A)\\

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

         P(B)= Probability that Thomas scores more than 175 = 0.2

and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3

Thus, the required probability is calculated as follows;

\\  
P(A\cap B)=P(A)\times P(B\setminus A)\\  
P(A\cap B)=0.2\times 0.3=0.06



             



             


You might be interested in
Simplify 750g:1550g, in lowest form.
scZoUnD [109]

Answer:

15 : 31

Step-by-step explanation:

750 g : 1550 g ( divide both parts by 50 )

= 15 : 31 ← in simplest form

3 0
3 years ago
Read 2 more answers
I am so sorry that I keep asking questions, but I need help (again).
Maru [420]

Answer:

104

Step-by-step explanation:

square:8*8=64

left triangle: 1/2*8*5=20 (same for right triangle)

total area= 64+40=104

4 0
4 years ago
Jenny has 3 times as many new toys as she has favorite toys. The total number of toys is 60. How many favorite toys might Jenny
Ray Of Light [21]

Answer:Jenny has 15 favorite toys

Step-by-step explanation:

Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1

Total Ratio=3+1=4

Since the total number of toys is given as 60

Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys

Amount of Favorite toys = 1/4 x 60=15

Therefore Jenny has 15 favorite toys.

7 0
3 years ago
15 POINTS! PLEASE HELP! BRAINLIEST!
lina2011 [118]

Answer:

  • D.  15.3%

Step-by-step explanation:

<u>Total number of outcomes:</u>

  • 2¹⁵ =  32768

<u>Number of combinations of getting 6 heads:</u>

  • 15C6 = 15!/6!(15-6)! = 5005

<u>Required probability is:</u>

  • P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%

Correct choice is D

7 0
3 years ago
Read 2 more answers
What's the answer to this
KengaRu [80]
Raymond has consumed 84 calories
4 0
3 years ago
Read 2 more answers
Other questions:
  • a pair of boots regulary priced 129.99 was marked down to 35.99 during the end of season sale. What is the percent of discount?
    15·1 answer
  • Help me please thanks
    6·1 answer
  • Please help it’s due today. Stay safe! :) (:
    12·1 answer
  • The radius of a semicircle is 3 inches. What is the semicircle's diameter?
    7·2 answers
  • What's the sum of 7+10?
    6·2 answers
  • Find the measure of 0. (to the nearest tenth).<br> A) 36.9<br> B) 38.7<br> C) 51.3<br> D) 53.1
    7·2 answers
  • What is the scale factor from ABC to DEF?​
    11·1 answer
  • Factor 2x^2 +15x +25 = 0​
    15·2 answers
  • 4) Write a mathematical statement for:
    5·1 answer
  • Where is the blue point on the number line -5 0 5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!