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Elenna [48]
3 years ago
13

Avery ran 1/2 of a mile and walked 3/10 of a mile. How much father did Avery run than walk?

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

1/5

Step-by-step explanation:

1/2 is 5/10 so 5/10 minus 3/10 is 2/10 simplified to 1/5th

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Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w
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Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

  • P(Charlie Wins)=2/4
  • P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

  • P(Lucy Wins)=2/4
  • P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|

Expected Profit

=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0

Lucy's expected profit from the game is $0.

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Step-by-step explanation:

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Step-by-step explanation:

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