kimtzuyu174 kimtzuyu174
  • 24-07-2020
  • Mathematics
contestada

You create a game that uses the spinner shown

Find the probability of:

P(< 6 | yellow)

You create a game that uses the spinner shown Find the probability of Plt 6 yellow class=

Respuesta :

Newton9022 Newton9022
  • 25-07-2020

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Conditional Probability:

[tex]P(A|B)=\dfrac{P(A \cap B)}{P(B)}[/tex]

From the spinner shown, there are 10 sections.

[tex]P(< 6)=6/10\\P(Yellow)=3/10[/tex]

[tex]P($Yellow and $ <6)=2/10[/tex]

Therefore:

[tex]P(< 6 | \text{Yellow})=\dfrac{P(<6 \cap \text{Yellow } )}{P(\text{Yellow})}\\\\=\dfrac{2/10}{3/10}\\=\dfrac{2}{3}[/tex]

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