Mathematics, 22.09.2020 21:01 atlasthegoat

O COUNTING AND PROBABILITY Finding the odds in favor and against

Susana v

Espoo

Keith is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized slices, as shown below. The wheel has 7 black slices, 2 grey

slices, and I white slice. When the wheel is spun, the arrow stops on a slice at random. If the arrow stops on the border of two slices, the wheel is spun again.

23

(a) If the arrow stops on a black slice, then Keith wins a gift card. Find the

odds against Keith winning a gift card

to

X

Р

(b) If the arrow stops on a black slice, then Keith wins a gift card. Find the

odds in favor of Keith winning a gift card.

Explanation

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Answers: 1

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Answers

Answer from: lilybean7815

a. $Odds = \frac{3}{7}$

b. $Odds = \frac{7}{3}$

Step-by-step explanation:

Given

n(Black) = 7

n(Grey) = 2

n(White) = 1

n(Total) = 10

Solving (a): Odds against winning

Since, the arrow must stop at black, then

The odds against winning is calculated as thus:

$Odds = \frac{n(Total) - n(Black)}{n(Black)}$

$Odds = \frac{10 - 7}{7}$

$Odds = \frac{3}{7}$

Solving (b): Odds in favor of winning

Since, the arrow must stop at black, then

The odds is calculated as thus:

$Odds = \frac{n(Black)}{n(Total) - n(Black)}$

$Odds = \frac{7}{10 - 7}$

$Odds = \frac{7}{3}$

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

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O COUNTING AND PROBABILITY Finding the odds in favor and against

Susana v

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