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
MakcuM [25]
3 years ago
11

A probability experiment is conducted in which the sample space of the experiment is upper s equals { 1 comma 2 comma 3 comma 4

comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 comma 13 comma 14 comma 15 }.s={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}. let event upper a equals { 3 comma 4 comma 5 comma 6 }a={3,4,5,6} and event upper b equals { 10 comma 11 comma 12 }.b={10,11,12}. assume that each outcome is equally likely. list the outcomes in a and
b. are a and b mutually​ exclusive?
Mathematics
1 answer:
Softa [21]3 years ago
8 0

You can think of this experiment as follows: you have to select a random number between 1 and 15, where each number is equally likely to appear.

Player A wins if 3,4,5 or 6 are picked.

Player B wind is 10,11 or 12 are picked.

Two events are said to be mutually​ exclusive if they cannot happen at the same time. So, in our metaphor, the question is: can we pick a particular number, so that both players win simultaneously?

The question is no, because if player A wins, we have picked 3,4,5 or 6, and player B wins with none of these numbers.

Similarly, if player B wins, we have picked 10, 11 or 12, and player A wins with none of these numbers.

So, the two events cannot occur simultaneously.

If you want to be more formal, since the events are subset of the sample space, two events are mutually exclusive if their intersection is the empty set, and this is the case:

A \cap B = \{3,4,5,6\}\cap\{10,11,12\} = \emptyset

You might be interested in
Can you all help me also answer this question 3 and 4
vladimir1956 [14]

Step-by-step explanation:

The answer for third is D, you have multiple choice in fourth which I can't see at all...

3 0
2 years ago
Express sin A, cos A, and tan A as ratios ​
vlabodo [156]
<h3>Answer: Choice B</h3><h3>sqrt(3)/2,    1/2,   sqrt(3)</h3>

================================================

Explanation:

Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12

Sin(angle) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 6sqrt(3)/12

sin(A) = sqrt(3)/2

---------------

Cosine is the ratio of the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 6/12

cos(A) = 1/2

---------------

Tangent is the ratio of the opposite and adjacent

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 6sqrt(3)/6

tan(A) = sqrt(3)

5 0
3 years ago
Find each probability below -- as a fraction, decimal and percent <br> Will give brainliest
Komok [63]

Answer:  

I was not sure to what decimal point to round it to

a) Fraction: 2/7    Decimal: 0.28571   Percent: 28.571 %

b) Fraction: 5/7    Decimal: 0.71428   Percent: 71.428 %

c) Fraction: 1/7     Decimal: 0.14285   Percent: 14.285 %

7 0
3 years ago
Read 2 more answers
3 (x-1) - 8 = 4 (1+x) + 5 Solve it please?
tigry1 [53]

Answer:

X= -20

Step-by-step explanation:

4 0
2 years ago
a box contains 20 red, 10 blue and 30 yellow beads. what is the probability of a bead drawn at random being yellow or blue?​
dexar [7]

Answer:

2/3

Step-by-step explanation:

1. add all the beads up together:

    20+10+30= 60

2. add the blue and yellow beads up:

    10+30= 40

3. put 40 over 60

    40/60 which equals 2/3

4. the final answer:

    2/3

5 0
2 years ago
Other questions:
  • Anna drove at a constant rate of 63 miles per hour for 3.2 hours. She determined she drove 201.6 miles. Which best explains the
    5·2 answers
  • A double-bar graph is a graphical method of representing the frequency of specific ordered _____.
    7·2 answers
  • Photo attached! 15 points! Thank you in advance!!
    15·1 answer
  • kaitlyn read 24 pages of a book, logan reads 3 times as many pages as kaitlyn. Which equation can be used to find the total numb
    9·2 answers
  • Solve the inequality
    6·1 answer
  • I don’t know understand it or know how to solve it.
    14·1 answer
  • Question
    9·2 answers
  • Hi can I send a screenshot?​
    11·2 answers
  • Which expression is equivalent to
    10·1 answer
  • Which graph represents the following function? f(x)=-x+6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!