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3 years ago

Susan claims. "If a family has already got four boys, then the next baby is more likely to be a girl than a boy."

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

Assuming that for every baby the probability of being a girl or a boy is the same (50% for each of them)

We could then think in this situation as a coin flip.

Suppose that you flip a coin 4 times, and the four times you get heads.

Does this imply that in the 5th flip the probability of getting tails increments?

Well, not, each flip is an individual event, and it's outcome does not depend on the outcome of the previous flips.

The same is for the new baby, the gender does not depend on the gender of the previous babies, is an independent event, then Susan's statement is false.

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The answer should be:
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4 years ago

Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

<u>Addition Law for Probability</u>

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

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2 years ago

Read 2 more answers

fair die was rolled 10 times with the following results: 5 5 1 3 2 1 5 6 5 1 Which of the following is a correct statement about

Ulleksa [173]

Answer:

Each value (1 to 6) has exactly the same probability of being rolled.

Step-by-step explanation:

Given

Rolls: 10

Outcome: 5 5 1 3 2 1 5 6 5 1

Required

Which is true about the next 10 rolls

In the roll of a fair die (as stated in the question), each face has equal probability of being the outcome of individual rolls.

This implies that options (a), (b) and (c) are not true because they do not support the above statement,

<em>Hence, (d) is correct</em>

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3 years ago

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goldfiish [28.3K]

Subtraction Property of Equality

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3 years ago

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Find the missing angle measures. Be sure to show your work in arriving at your answers.

Elina [12.6K]

Answer:

k=50º

m=90º

Step-by-step explanation:

a line is 180º total

so 130+k=180

k=50

a triangle also is 180º total

so 180-40-k=m

180-40-50=m

90=m

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3 years ago