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# Venn diagram

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Hello can someone help me to find the venn digram ?

For dessert, the probability I eat a cake is 0.4, the probability I eat ice cream is 0.6 and the probability I eat neither a cake nor ice cream is 0.1

Draw a venn digram that depicts the information above.

So I know the left side will be : cake with 0.4 and right side wil be ice cream with 0.6

But what is the middle ?

is the total is 1 ?

And what is the probability that I eat both cake and I cream ?

Best and Thank you for helping me !

Guest Nov 9, 2015

#1
+81090
+10

Here's my best attempt......

The probability of eating neither cake nor ice cream -  [.1] - would fall outside the circles

So......the total probability within the circles = .9....and this equals the total probability of eating cake or ice cream

Let P(C) be the probaility of eating cake and P(I)  be the probability of eating ice cream. And we have :

P( C or I)   = P(C) + P(I)  - P(C and I)

.9  = .4 + .6  - P(C and I)

P(C and I)  = .4 + .6 - .9   = .1

Here's the Diagram :

CPhill  Nov 9, 2015
edited by CPhill  Nov 9, 2015
Sort:

#1
+81090
+10

Here's my best attempt......

The probability of eating neither cake nor ice cream -  [.1] - would fall outside the circles

So......the total probability within the circles = .9....and this equals the total probability of eating cake or ice cream

Let P(C) be the probaility of eating cake and P(I)  be the probability of eating ice cream. And we have :

P( C or I)   = P(C) + P(I)  - P(C and I)

.9  = .4 + .6  - P(C and I)

P(C and I)  = .4 + .6 - .9   = .1

Here's the Diagram :

CPhill  Nov 9, 2015
edited by CPhill  Nov 9, 2015

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