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tigry1 [53]
3 years ago
14

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 prob

ability ratio for Peter to draw a spade
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

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

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What Numbers Go Into The Venn Diagram
antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

    greater than 9 is  10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the  sum greater or equal to 9 and is

     also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or,   S   =   {2,3,4,5,6,7,8,9,10,11,12}

(a)  The number of ordered pairs where sum is  9 or greater than 9

    = { sum is 9  ,  Sum is 10 ,  Sum is 11,   Sum is 12}

    = {(6,3)(3,6),(4,5)(5,4) ,   (5,5), (6,4),(4,6)  , (6,5)(5,6),   (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is  10

(b)  The number of ordered pairs where sum is odd.

    = { Sum is 3 ,  Sum is 5,   Sum is 7, Sum is 9, Sum is 11}

    = {(1,2)(2,1),   (4,1)(1,4),(2,3)(3,2) ,   (6,1), (1,6),(5,2),(2,5),(4,3)(3,4)  ,

        (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 18

Hence total number of outcomes where the sum is odd = 18

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are  = { Sum is 9 ,  Sum is 11}

                                            ={ (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 6

Hence total number of outcomes where the  sum greater or equal to 9 and is also odd = 6

6 0
3 years ago
Simplyfy this complex fraction. <br> 5/6 divided by 1 1/4
andre [41]

Answer:

2/3

all you have to do is make 1 1/4 an improper fraction and then use the keep change flip method.

8 0
4 years ago
Is it possible for a piece wise function to have more than one y intercept
Kaylis [27]
If its circular, hyperbolic or ellipsoid

otherwise it will violate the rule of the verticle line test
3 0
3 years ago
Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each da
Mama L [17]

Answer:

$91.75

Step-by-step explanation:

Jessica is paid:

  • $0.45 per basket for the first 100 baskets picked;
  • $0.50 per basket for all baskets over 100 picked.

1st day:

Jessica picked 65 baskets of oranges (less than 100)

Jessica is paid 65\cdot \$0.45=\$29.25

2nd day:

Jessica picked 135 baskets of oranges (35 more than 100)

Jessica is paid 100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50

Altogether Jessica is paid

\$29.25+\$62.50=\$91.75

4 0
3 years ago
WILL GIVE BRAINLIEST HELP URGENT!!!
denis23 [38]

Answer:

Find like terms:

5x and 2x are like terms,

as well as:

42 and 1

do the math per usual but with the like terms:

5x - 2x = 3x

42 -1 = 41

Therefore your answer is:

(3x - 41)

(hope this helps)

8 0
3 years ago
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