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nikklg [1K]
3 years ago
6

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

g on the first roll?
Mathematics
1 answer:
Alborosie3 years ago
8 0

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

|S|=6^2=36

Let E be the event such that the sum of two numbers are 7, so

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

|E|=56

\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

|F|=2

\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}

Now,

P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22

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Hey, your answer is d) 60cm
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3 years ago
Opal wanted to make some necklaces and sell them at a craft store. She made 37 necklaces and each necklace had somewhere between
alexandr402 [8]
<h3>The total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.</h3>

Step-by-step explanation:

Here, as given: The number of necklace made by Opal  = 37

The least number of bead used in each necklace  = 72

So, if each necklace is made using the least number of beads then,

The total number of beads  used in 37 necklace =  37 x ( beads in 1 necklace)

= 37 x  72  = 2,664 beads

So, the least number of total beads used in 37 necklaces  = 2,664 beads

The highest number of bead used in each necklace  = 77

So, if each necklace is made using the highest number of beads then,

The total number of beads  used in 37 necklace =  37 x ( beads in 1 necklace)

= 37 x  77  = 2,849 beads

So, if highest number of total beads used in 37 necklaces  = 2,849 beads

Hence, the total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.

5 0
3 years ago
What can 39/40 be reduced to
Galina-37 [17]
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5 0
3 years ago
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Find the value of x that makes m || n
oee [108]

Answer:

X=107°

Step-by-step explanation:

180-73=107

this is to get the angle on the opposite side of the 73.

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3 0
3 years ago
Read 2 more answers
Send it quick guys...
Paladinen [302]

Answer:

194

Step-by-step explanation:

Recall 2 rules to solve this easily:

1. (a+b)^2=a^2+2ab+b^2

2. (a-b)^2=a^2-2ab+b^2

<em>Now, if we let a = 7  and  b=4\sqrt{3}, we can say the problem is basically of the form:</em>

(a+b)^2 + (a-b)^2

This can be simplified using the rules:

(a+b)^2 + (a-b)^2\\a^2+2ab+b^2+a^2-2ab+b^2\\2a^2+2b^2

Now we can plug the values of a and b we initially thought of (remember though  \sqrt{x} \sqrt{x} =x):

2a^2+2b^2\\2(7)^2+2(4\sqrt{3})^2\\ 2(49)+2(4\sqrt{3})(4\sqrt{3})\\98+2(4)(4)(\sqrt{3} )(\sqrt{3} )\\98+2(4)(4)(3)\\98+96 \\194

194 is the final answer.

7 0
3 years ago
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