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satela [25.4K]
3 years ago
9

What is the probability of being dealt a 9,10,jack,queen,king all in the same suit?

Mathematics
1 answer:
Scilla [17]3 years ago
6 0
Hmm, alright

not necicarily in that order
probblity=desired outcomes/total possible outcomes

so

4 suits

so the first card is either a 9,10, jack, queen or king of any suit
5*4=20 (4 suits) so 20/52 is probability

now we gots to pick the same suit
now we has 4 cards out of the 51 left that we want
4/51

now we has 3/50

then 2/49

then 1/48

multiply them all together

20/52 times 4/51 times 3/50 times 2/49 times 1/48=480/311875200=1/649740


probablity is 1 in 649740 or about 0.000153% chance


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Given:

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\sum _{k=4}^9(5k+3)

To find:

The expanded form and find the sum.

Solution:

We have,

\sum _{k=4}^9(5k+3)

The expanded form of given sum is:

\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)

\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)

\sum _{k=4}^9(5k+3)=23+28+33+38+43+48

\sum _{k=4}^9(5k+3)=213

Therefore, the correct option is C.

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3 years ago
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3 years ago
An electrician charges a set fee of $100 for every house call and then charges an additional hourly rate. One day, the electrici
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Answer:

C=75t+100

Step-by-step explanation:

Let

C(t) ---->the total cost of the electrician's services in dollars

t ---> the number of hours

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The linear function in slope intercept form is equal to

C=mt+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

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The linear function is equal to

C=75t+100

4 0
3 years ago
Read 2 more answers
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