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A dice is rolled twice. What is the probability of observing at least one five?

 Feb 12, 2017

Best Answer 

 #3
avatar+37168 
+5

Melody is correct......

Here is another way to look at it

Probability of NOT rolling a 5 on the first roll is 5/6

Probability of NOT rolling a 5 on the second roll is also 5/6

Probability of NOT rolling a 5 in two rolls is then   5/6 x 5/6 = 25 /36

so the probability of  (YES) rolling a 5 is   36/36 - 25/36 = 11/36  with two rolls....

 

 One of these days I will understand probability.....'probably'? or Maybe ? LOL

 

(I think !)

 Feb 12, 2017
 #1
avatar+37168 
0

Each time you roll the die (one is a 'die'  ...two are called 'dice') you have a 1/6 chance of rolling a '5'

rolling TWO times DOUBLES that chance    2 x 1/6 = 1/3 chance of rolling a '5'

 Feb 12, 2017
 #2
avatar+118710 
0

A dice is rolled twice. What is the probability of observing at least one five?

 

P(first one 5 )+P(both 5) - P(both 5)

 

I'm going to try doing it a couple of different ways and see I get the same answers :)

 

16+161616=1266136=1136 or1656+5616+1616=536+536+16=1136

 Feb 12, 2017
 #3
avatar+37168 
+5
Best Answer

Melody is correct......

Here is another way to look at it

Probability of NOT rolling a 5 on the first roll is 5/6

Probability of NOT rolling a 5 on the second roll is also 5/6

Probability of NOT rolling a 5 in two rolls is then   5/6 x 5/6 = 25 /36

so the probability of  (YES) rolling a 5 is   36/36 - 25/36 = 11/36  with two rolls....

 

 One of these days I will understand probability.....'probably'? or Maybe ? LOL

 

(I think !)

ElectricPavlov Feb 12, 2017
 #5
avatar+118710 
0

You are right too ElectricPavlov ... but .... 

 

How did you put your writing in a grey box?     

Melody  Feb 13, 2017
 #6
avatar+26398 
0

A dice is rolled twice. What is the probability of observing at least one five?

 

In green dice first rolling In blue dice second rolling In red number 5

 

1234561X2X3X4X5XXXXXX6X

 

The probability of rolling at least one five is 1136 or 30.ˉ5 %

 

laugh

 Feb 13, 2017

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