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ra1l [238]
3 years ago
13

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

0.038 0.200 0.315 0.465 0.747
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
Last one..................................................................................................................................................

inysia [295]3 years ago
3 0

Answer:

The probability that exactly 2 of the cards are spades is 0.315  

Step-by-step explanation:

Given that 6 cards are drawn at random from a standard deck of 52 cards,

we have to find the probability that exactly 2 of the cards are spades.

Total cards=52

Number of cards which are spades=13

Remaining cards=52-13=39

Probability=\frac{\text{favourable outcomes}}{\text{Total number of outcomes}}

Probability=\frac{_2^{13}\txterm{C}\times _4^{39}\txterm{C}}{_6^{52}\txterm{C}}

Probability=\frac{\frac{13!}{2!11!}\times \frac{39!}{35!4!}}{\frac{52!}{6!46!}}=0.31512988174\sim 0.315

Option 3 is correct.

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a mother otter is fed 7 fish for every 2 fish for its cub a) if a cub has eaten 14 fish , how many fish did the mother eat ? ple
jek_recluse [69]

Answer:

The mom ate 49 fish.

Step-by-step explanation:

This question can be solved by a rule of three.

a mother otter is fed 7 fish for every 2 fish for its cub

if  a cub has eaten 14 fish , how many fish did the mother eat ?

For each 2 fish cub eats, the mon eats 7. How much has the mom eaten if the cub has eaten 14?

So

2 - 7

14 - x

2x = 14*7

Simplifying by 2

x = 7*7

x = 49

The mom ate 49 fish.

5 0
3 years ago
Can someone please help me with this!
Gelneren [198K]

Answer:

Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse

Step-by-step explanation:

Sue's kayaking path is the hypotenuse of a right triangle.

so we use a squared + b squared = c squared

10.5^2+3.2^2=c^2

110.25+10.24=c^2

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10.9768=c

and then because it said to round to the nearest tenth that would be 11.0 miles.

She's going at an average speed of 3.3 mph

that means it takes her about .3 hours to do 1 mile

so it would take her 3.3 hours to go 11 miles

marty is going at an average speed of 7 mph

so she takes 0.14 hours to go 1 mile

0.14 x 25 = 2.5

3 0
3 years ago
Jessie’s friend Paul runs a hot dog stand near the car plant. Jessie gets 3 hot dogs and pays Paul $3.60
Deffense [45]
3.60 divided by 3 = h
3 0
3 years ago
Read 2 more answers
The price of an item has been reduced by 60%. The original price was $84
IceJOKER [234]

Answer:

$33.60

Step-by-step explanation:

First, we get 60 percent of 84. That is 50.40. Next, we do 84 minus 50.40, which is 33.60. Therefore, your answer is $33.60. Hope this helped!

4 0
3 years ago
Which expression makes the equation true?
N76 [4]
1. C. 

The rule of powers is that when a parenthesis is raised to a power, you multiply the two numbers. Since it is being raised to the second power, it needs to have a 10 in the parenthesis. That would make 20. 

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8 0
3 years ago
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