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
babymother [125]
3 years ago
10

Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon

e who draws at least one diamond wins a prize. To the nearest whole number, about how many of the twelve will win a prize? What is the probability that at least one person will win a prize? (Answer correct to four decimal places.) What is the probability that two people will win a prize?
Mathematics
1 answer:
Vlad [161]3 years ago
7 0

Answer:

5

0.9990

0.0401

Step-by-step explanation:

1) Probability(diamond) = 13/52 = 1/4

Probability(not diamond) = 1 - 1/4 = 3/4

Probability of atleast one diamond = 1 - probability of no diamonds

= 1 - (¾ × ¾) = 1 - 9/16 = 7/16

Expected no. = np = 12 × 7/16

= 5.25 = 5 (nearest whole no.)

2) let X be the no. of people winning the prize.

Then X ~ B(12, 7/16)

[ X follows a Binomial Distribution with 12 trials and probability of success (winning prize) = 7/16 ]

P(atleast 1 winning) = 1 - P(X=0)

= 1 - (9/16)^12

= 0.9989966087

= 0.9990 (4 dp)

3) P(X=2) = 12C2 × (7/16)² × (9/16)^10

= 0.0400613268

= 0.0401 (4 dp)

You might be interested in
P² +6r - 27<br> factoring quadratics
babunello [35]

Step-by-step explanation:

look at the picture shown

5 0
3 years ago
The equation 2x-7=5+x has exactly one solution. True or false
marishachu [46]

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

5 0
3 years ago
Write the equation of the line in slope-intercept form given the graph below.
pishuonlain [190]

Answer:

y=-2/3x-1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The logarithmic expression ln(√e/y^3) can be rewritten as
kvv77 [185]

Answer:

\dfrac{1 - 6 \ln y}{2}

Step-by-step explanation:

\ln \dfrac{\sqrt{e}}{y^3} =

= \ln \dfrac{e^\frac{1}{2}}{y^3}

= \ln e^\frac{1}{2} - \ln y^3

= \dfrac{1}{2} \ln e - 3 \ln y

= \dfrac{1}{2} - 3 \ln y

= \dfrac{1 - 6 \ln y}{2}

6 0
3 years ago
Bagels cost $2.40 per dozen. How much will it cost to buy 3.5 dozen of bagles HELP I NEED IT NOW
Natalija [7]
It will cost 8.40 cents
5 0
3 years ago
Read 2 more answers
Other questions:
  • Question 1 help needed
    9·1 answer
  • A number increased by five and then divided by two
    14·2 answers
  • 5x(x-3)=(x-2)(5x-1)-5??
    5·1 answer
  • What is the volume of a rectangular prism length 12ft height 14ft width 17ft
    9·1 answer
  • How is this wrong? I cant find it out, google says it is -7 but why?
    6·2 answers
  • Explain why 6:4 and 18:8 are not equivalent ratios
    12·1 answer
  • Solve the system by graphing.<br><br> y=1/2x−3<br> y=3/2x−1
    12·1 answer
  • X/19 = 4 <br> what is x please help i don`t under stand this equation <br> p.s. xover 19 =4
    6·1 answer
  • Help!! help!! help!! help!! help!! help!! help!! help!! help!!
    12·1 answer
  • Find the exact value of sin 2pi/3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!