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
gogolik [260]
3 years ago
9

Consider two people being randomly selected. (For simplicity, ignore leap years.)

Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

=\frac{12}{365} X\frac{12}{365}  = \frac{144}{133225}

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on  same day of same month) = 1

P(2 people selected not having birthday on  same day of same month):

= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}

P(2 people selected have birthday on the same day of same month) = 1-\frac{364}{365} \\\\= \frac{1}{365}

You might be interested in
In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu
Sindrei [870]

The probability that all of them will be defective is 0.0000759375

<em><u>Explanation</u></em>

The general <u>Binomial Probability</u> formula is....

P= ^nC_{r}*p^r*(1-p)^n^-^r, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375

So, the probability that all of them will be defective is 0.0000759375

7 0
3 years ago
3 less than one-thirteenth of some number, w
Leviafan [203]
As an expression, it would be:

3 - 1/13w (or you could also do 1/13w - 3).
4 0
3 years ago
Triangles RST and MNP are congruent. Name the congruent sides and the congruent angles.
d1i1m1o1n [39]

Answer:

angles:r=m

s=m

t=p

sides:rs=mn

rt=mp

st=pn

3 0
3 years ago
Sarah swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Sarah swim in
ryzh [129]
1/3 is the answer
Hope this is correct
8 0
3 years ago
Help me with this question please.
Tems11 [23]

Answer:

38.6 m

Step-by-step explanation:

cos 75° = 10/x

x= 10/cos75°= 38.637 ≈ 38.6m

8 0
3 years ago
Other questions:
  • Whats 521,742 rounded to the nearest thousand
    5·2 answers
  • What is 1/3 as a percentage
    15·2 answers
  • PC-CSIL
    8·1 answer
  • A similarity transformation maps polygon ABCD to polygon PORS. If the length of AB is 6 and the length of the corresponding side
    15·2 answers
  • Plz help asap! I will give 35 points for next question THANKS!
    6·1 answer
  • If you save $4,500 at an interest rate of 13 percent per year how much will you have at the end of seven years?
    5·1 answer
  • katy owes her dad some money. she earned sixteen dollars and gave it all to her dad . if she still owes him fourteen dollars, ho
    15·2 answers
  • Which of the question below could be the equation of this parabola ?
    15·1 answer
  • If using the method of completing the square to solve the quadratic equation, which number would have to be added to “complete t
    9·1 answer
  • What is the factored form?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!