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Lana71 [14]
3 years ago
14

A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

2/3

Step-by-step explanation:

Given that a six sided die with sides labelled with numbers 1,2,3,4,5 and 6 is rolled once.

Since die is said to be equally likely for each number, die is unbiased

P(1) = P(2)=...=P(6) = 1/6

For a number greater than 2, we must not include 2 and hence numbers can be 3 or 4 or 5 or 6

Probability of rolling a number >2 = Probability of rolling 3 or 4 or 5 or 6

= P(3)+P(4)+P(5)+P(6)

= 1/6+1/6+1/6+1/6

=4/6

=2/3

Required probability = 2/3

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
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30 ounces of the coffee John likes consists of

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To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

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Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

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\implies x\approx14.4

###

Just to confirm: the new mixture consists of

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giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

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3 years ago
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17x +215

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