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NARA [144]
3 years ago
10

Which is smaller-21/35, 7/5​

Mathematics
2 answers:
stiks02 [169]3 years ago
6 0

-21/35 is larger than 7/5, because 7/5 could be simplified and be more than 1, while -21/35 would be a decimal.

Paladinen [302]3 years ago
3 0

Answer:

-21/35

Step-by-step explanation:

So, 7/5 is a postive number, since it doesn't have a negative - sign in front of it. On the other hand, -21/35 does. Knowing this, we can conclude that -21/35 is smaller than 7/5.

If you want another way of thinking about it, just guessing, what is 7/5? Well, 7 is bigger than 5, so it must be at least 1. On the other hand, with -21/35, the -21 doesnt look like its bigger than 35, so it must be smaller than 1.

Answer:

<u>-21/35 is smaller than 7/5 </u>

<u></u>

<u>Ti⊂k∫∈s ω∅∅p</u>

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There are three urns that each contain 10 balls. The first contains 3 white and 7 red balls, the second 8 white and 2 red, and t
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Now, probability of drawing 2 white balls from urn 1 is given as:

P(W\cap W \cap E_{1})=P(E_{1})\times P((W\cap W)/E_{1})\\P(W\cap W \cap E_{1})=\frac{1}{3}\times (\frac{3}{10})^{2}=\frac{9}{300}

Probability of drawing 2 white balls from urn 2 is given as:

P(W\cap W \cap E_{2})=P(E_{2})\times P((W\cap W)/E_{2})\\P(W\cap W \cap E_{2})=\frac{1}{3}\times (\frac{8}{10})^{2}=\frac{64}{300}

Probability of drawing 2 white balls from urn 3 is given as:

P(W\cap W \cap E_{3})=P(E_{2})\times P((W\cap W)/E_{2})=\frac{1}{3}\times 1=\frac{1}{3}............. (as all balls are white only)

Now, probability of drawing 2 white balls is the sum of all the above probabilities and is given as:

P(2W)=P(W\cap W \cap E_{1})+P(W\cap W \cap E_{2})+P(W\cap W \cap E_{3})\\P(2W)=\frac{9}{300}+\frac{64}{300}+\frac{1}{3}\\P(2W)=\frac{9}{300}+\frac{64}{300}+\frac{100}{300}=\frac{9+64+100}{300}=\frac{173}{300}

(a)

Probability of selecting urn 1 given that 2 white balls are drawn is:

P(E_{1}/2W)=\frac{P(E_{1})\times P(2W/E_{1})}{P(2W)}\\P(E_{1}/2W)=\frac{\frac{9}{300}}{\frac{173}{300}}=\frac{9}{173}=0.0520

Therefore, probability of selecting urn 1 given that 2 white balls are drawn is 0.0250.

(b)

Probability of selecting urn 2 given that 2 white balls are drawn is:

P(E_{2}/2W)=\frac{P(E_{2})\times P(2W/E_{2})}{P(2W)}\\P(E_{2}/2W)=\frac{\frac{64}{300}}{\frac{173}{300}}=\frac{64}{173}=0.3699

Therefore, probability of selecting urn 2 given that 2 white balls are drawn is 0.3699

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