Peter randomly draws a card from a deck of 24. The odds in favor of his drawing a spade from the cards are 1:3. What is the probability ratio for Peter to draw a spade

1 /4

Step-by-step explanation:

Given that :

Let :

P(S) = probability of drawing a spade

Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :

P(drawing a spade)/P(not drawing a spade) = 1:3

P(S) / P(S') = 1/ 3

P(S') = 1 - P(S)

P(S) / (1 - P(S)) = 1 / 3

Cross multiply :

3P(S) = 1 - P(S)

Collect like terms

3P(S) + P(S) = 1

4P(S) = 1

P(S) = 1/4

Hence, probability ratio of drawing a spade P(S) = 1/4

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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