jolie12g
Answered

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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

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