Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A spinner is divided into 5 equal sections numbered 1 through 5.

What is the probability of the event that is complementary to the event of spinning an even number on the spinner?

A. 1/5


B.2/5


C.3/5


D.4/5


A box contains letter tiles labeled either X or Y. The probability of drawing a tile labeled Y is 90 percent.

What is the probability of drawing a tile labeled X?

A.
10%

B.
30%

C.
60%

D.
90%


Sagot :

i dont the answer for the first one but the second one is A.10%

Probability of the event that is complementary to the event of spinning an even number on the spinner is equals to P(E') = [tex]\frac{3}{5}[/tex].

Probability of drawing a tile labeled X from a box  contains letter tiles labeled either X or Y is equals to P(X) [tex]= 10\%.[/tex]

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{total number of outcomes}[/tex]

According to the question,

1. Given,

Possible numbers on spinner [tex]= \{ 1, 2, 3, 4, 5\}[/tex]

Even numbers on spinner 'E' [tex]= \{2, 5\}[/tex]

Substitute the value in the formula to get the required probability ,

Probability of having even number on spinner P (E) = [tex]\frac{2}{5}[/tex]

Complementary event of  spinning an even number

P(E') [tex]= 1 -[/tex] P(E)

      [tex]= 1 - \frac{2}{5}\\ \\= \frac{3}{5}[/tex]

Hence, Option (C) is the correct answer.

2. Given,

Box contains tiles either X or Y

'X' and 'Y' both are independent

X∩Y [tex]= 0[/tex]

P (X or Y) = P (X) + P(Y)

[tex]\implies 100\% = P(X) + 90\%[/tex]

⇒P(X) [tex]= (100 - 90)\%[/tex]

P(X) [tex]= 10\%[/tex]

Hence, Option (A) is the correct answer.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ3

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.