RAPH13 Q5-6

Question

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Worked Solution

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Variant 0

DifficultyLevel

590

Question

Zeus has 21 chickens, from 3 different breeds.

Breed Number of Chickens
Leghorn 7
Polish 5
Dorking 9


What is the probability that a chicken selected randomly will be either a Dorking chicken or a Leghorn chicken?

Worked Solution
PP (Leg horn or Dorking) = Number of Leghorn + Number of DorkingTotal number of chickens\dfrac{\text{Number of Leghorn + Number of Dorking}}{\text{Total number of chickens}}
= 7+921\dfrac{7 + 9}{21}
= 1621\dfrac{16}{21}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Zeus has 21 chickens, from 3 different breeds.
> | Breed | Number of Chickens | > | :-----------: | :----------: | > | Leghorn | 7 | > | Polish | 5 | > | Dorking | 9 |

What is the probability that a chicken selected randomly will be either a Dorking chicken or a Leghorn chicken?
workedSolution
| | | | ------------- | ---------- | | $P$ (Leg horn or Dorking) | \= $\dfrac{\text{Number of Leghorn + Number of Dorking}}{\text{Total number of chickens}}$ | | | \= $\dfrac{7 + 9}{21}$| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{16}{21}$

Answers

Is Correct?Answer
x

721\dfrac{7}{21}

✓

1621\dfrac{16}{21}

x

521\dfrac{5}{21}

x

921\dfrac{9}{21}

Variant 1

DifficultyLevel

592

Question

Wendy has 32 different flowers as shown in the table below.

Kind of flower Number of flowers
Carnations 8
Tulips 6
Dandelions 11
Roses 7


What is the probability that a flower selected randomly will be either a carnation or a tulip?

Worked Solution
PP (Carnation or Tulip) = Number of Carnations + Number of TulipsTotal number of flowers\dfrac{\text{Number of Carnations + Number of Tulips}}{\text{Total number of flowers}}
= 8+632\dfrac{8 + 6}{32}
= 1432\dfrac{14}{32}
= 716\dfrac{7}{16} (lowest term)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Wendy has 32 different flowers as shown in the table below.
> | Kind of flower | Number of flowers | > | :-----------: | :----------: | > | Carnations | 8 | > | Tulips | 6 | > | Dandelions | 11 | > | Roses | 7 |

What is the probability that a flower selected randomly will be either a carnation or a tulip?
workedSolution
| | | | ------------- | ---------- | | $P$ (Carnation or Tulip) | \= $\dfrac{\text{Number of Carnations + Number of Tulips}}{\text{Total number of flowers}}$ | | | \= $\dfrac{8 + 6}{32}$| || \= $\dfrac{14}{32}$ | | | \= {{{correctAnswer}}} (lowest term) |
correctAnswer
$\dfrac{7}{16}$

Answers

Is Correct?Answer
✓

716\dfrac{7}{16}

x

29\dfrac{2}{9}

x

34\dfrac{3}{4}

x

711\dfrac{7}{11}

Tags

  • staging_suejones