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Ahat [919]
3 years ago
15

Select all of the answers below that are equivalent to T = {Tinkey-Winky, Laa-Laa,

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

Answer:

  • {thermometer, fridge, rusty nail, deoderant}
  • {credit card, face wash, tweezers, shovel}
  • {clothes, glass, car, greeting card}

Step-by-step explanation:

The options that will be equivalent to T will have to be the options that have the same Cardinality as T. Cardinality refers to the number of elements in a set and in the set T, there are 4 elements being Tinkey-Winky, Laa-Laa,  Dipsy, Po so the Cardinality is 4.

The equivalent sets would therefore be sets with a cardinality of 4 as well and those are;

  • {thermometer, fridge, rusty nail, deoderant}
  • {credit card, face wash, tweezers, shovel}
  • {clothes, glass, car, greeting card}
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The probability that he picked 2 purpled socks is <u>0.33</u>.

Step-by-step explanation:

Given:

Number of purple socks, n(P) = 6

Number of orange socks, n(O) = 4

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Probability of picking the first cap as purple cap is given as:

P(P1)=\frac{n(P)}{n(T)}\\\\P(P1)=\frac{6}{10}=\frac{3}{5}

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.

Therefore, probability of picking the second cap as purple cap is given as:

P(P2)=\frac{n(P)-1}{n(T)-1}\\\\P(P2)=\frac{5}{9}

Now, probability that both the picked caps are purple is given by their probability product. This gives,

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