Answer :

MrRoyal

Answer:

[tex]P(Red) = 0.50[/tex]'

[tex]P(Odd) = 0.50\\[/tex]

Step-by-step explanation:

Given

[tex]Red = 38[/tex]

[tex]Blue = 38[/tex]

Required (Missing part of the question)

(a) The marble is red. (b) The marble is odd-numbered

Solving (a): Probability of Red.

This is calculated as:

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{38}{38+38}[/tex]

[tex]P(Red) = \frac{38}{76}[/tex]

[tex]P(Red) = 0.50[/tex]

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

[tex]P(Odd) = \frac{Odd}{Total}[/tex]

[tex]P(Odd) = \frac{19+19}{38+38}[/tex]

[tex]P(Odd) = \frac{38}{76}[/tex]

[tex]P(Odd) = 0.50\\[/tex]

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