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
N76 [4]
2 years ago
15

A) what is the probability that the first contestant is a boy?

Mathematics
1 answer:
tamaranim1 [39]2 years ago
7 0

Probabilities are used to determine the chances of an event.

  • The probability that the first contestant is a boy is 1/2
  • The probability that the second contestant is a boy, if the first is a boy is 9/19
  • The probabilities are not independent

The given parameters are:

\mathbf{Contestants= 20}

\mathbf{Girls= 10}

\mathbf{Boys = 10}

<u>(a) Probability that first contestant is a boy</u>

This is calculated as:

\mathbf{P(Boy) = \frac{Boys}{Contestants}}

This gives

\mathbf{P(Boy) = \frac{10}{20}}

\mathbf{P(Boy) = \frac{1}{2}}

<u>(b) Probability that the second contestant is a boy, if the first is a boy</u>

This is calculated as:

\mathbf{P(Boy) = \frac{Boys - 1}{Contestants - 1}}

We subtracted 1, because the first contestant (a boy) is no longer part of the selection.

So, we have:

\mathbf{P(Boy) = \frac{10-1}{20-1}}

\mathbf{P(Boy) = \frac{9}{19}}

<u>(c) Independent probabilities</u>

The probabilities are not independent, because when a contestant is selected, the number of contestant is reduced by 1.

And this will affect the probability of the next selection.

Read more about probabilities at:

brainly.com/question/11234923

You might be interested in
25. Save the simultaneous equations 2x-y=4;x+y=5​
Helen [10]

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

x + y = 5

y = 5 - x

2x - (5 - x) = 4

2x + x - 5 = 4

3x = 9

x = 3

3 0
2 years ago
Evaluate the function.
Natali5045456 [20]
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16

Hope this helps! Good luck!
5 0
3 years ago
Read 2 more answers
O que são números racionais
Dmitrij [34]
<span>Números racionales son números que pueden ser wriiten como una proporción, y pueden ser escritos como una fracción también. Un ejemplo de un número racional sería dos cuartos (2/4), medio (1/2), etc.</span>
6 0
3 years ago
M - 7 &lt; 6 please help me
Citrus2011 [14]
<span>the answer is M<13 for problems like this you can go to https://www.cymath.com/answer.php?q=solve%20M%20-%207%3C%206 to solve your answer</span>
7 0
3 years ago
Which number sentence is true?
statuscvo [17]
The answer would be D
3 0
2 years ago
Other questions:
  • What is 9/12 as a sum of unit fractions
    9·1 answer
  • 524+920 Enter your answer either as an integer or as a fraction in simplest form
    14·2 answers
  • Pls help?? A 3D shape has the net shown below.
    13·1 answer
  • Pls help me!! Worth 50 points and will give brainliest
    7·2 answers
  • My teacher didn’t give us the formula for this special right triangle so i don’t know how to even do it
    5·1 answer
  • Please help me with this question
    6·1 answer
  • You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the
    7·1 answer
  • Explain the steps (in order) of how to write this function:
    10·1 answer
  • Imagine your class is having a pizza party and you are trying to decide how many pizzas to buy. The Italian Kitchen Pizzeria cha
    11·1 answer
  • Determine if the following event is independent or dependent. Ursula went to the market and chose a blue marker from one box of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!