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
Sladkaya [172]
3 years ago
10

Lewis rolls a number cube and then chooses a card from a set of cards numbered 1 through 5. What is the probability that he will

roll an even number and choose an even numbered card?
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

\frac{1}{5}=0.2

Step-by-step explanation:

The general formula for a probability is:

P=\frac{FavorableEvent}{TotalEvents}

The favorable events for the cube to fall in a even number are:

2, 4, and 6 ⇒ <u>3 favorable events</u>

and in the cube the total events are:

1, 2, 3, 4, 5, 6 ⇒ <u>6 total events</u>

So the probability of rolling an even number in the cube is:

P=\frac{3}{6}\\\\\\ P=\frac{1}{2}

Now we do something similar to find the probability to choose a card with an even number.

The favorable events for an even numbered card are:

2, 4 ⇒<u> 2 favorable events</u>

and the total number of events in the cards is:

1, 2, 3, 4, 5 ⇒ <u>5 total events</u>

Thus, the probability to choose an even numbered card (according to the probability formula) is:

P=\frac{2}{5}

And finally, since we want both things to happen we must multiply both obtained probabilities:

  • the probability that he will roll an even number and choose an even numbered card:

P=\frac{1}{2}*\frac{2}{5} \\ \\P=\frac{2}{10} \\\\P=\frac{1}{5} =0.2

The probability is 1/5 which is equal to 0.2 or 20%

You might be interested in
Which rational number represents a decrease in water level from 8 feet to 6 feet?
Serggg [28]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the co
egoroff_w [7]

Answer:

84.24 - 6.24 = p

Step-by-step explanation:

6 0
2 years ago
What is the value of x4 + 5.2y, when x = 2 and y = 3? (10 point) Question 12 options: 1) 23.6 2) 24.6 3) 27.6 4) 39.6
Firdavs [7]

Answer:

23.6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Tolong bantu jawab please, makasih sebelumnya!
sweet [91]

Answer:

2x² - 3x - 2

Explain:

Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.

2x² + x - 4x - 2

Collect like terms.

2x² + (x - 4x) - 2

Simplify.

2x² - 3x - 2

6 0
3 years ago
Can anyone help me on this question please.​
STatiana [176]
The answer is 72.
You can figure this out using the Pythagorean theorem: C (78) squared - A (30) squared = B squared though since you already know the longest side.
78 x 78 = 6084
30 x 30 = 900
6084-900= 5184
The square root of 5184 is 72.
5 0
3 years ago
Other questions:
  • Write an algebraic equation or expression or the word phrase<br><br> 25y=5
    6·2 answers
  • How many capsules will make out of 1 kilo
    13·1 answer
  • What is -5/8÷9/10=========
    10·2 answers
  • Find the prime factorization of 18 and 27
    10·1 answer
  • Find the radius of each figure. round to the nearest tenth.
    7·1 answer
  • Find the amount of time. I=$237.90, P=$1525, r=2.6%<br><br> think I=PRT
    15·1 answer
  • Evaluate b^2 for b= -4
    7·2 answers
  • PLEASE HELP NO SCAM <br><br> ¼ (x+12) = 2
    14·2 answers
  • In the figure below, mZ1 =(x+44) and mZ2=3xº.<br> Find the angle measures.
    6·1 answer
  • Factor the linear expression 15x-10 using the greatest common factor of the terms
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!