Respuesta :
Given Information:
Number of blue cards = 2
Number of red cards = 4
Total number of cards = 6
Required Information:
a) P(Blue) = ?
b) P(Red) = ?
c) which color card has a higher chance of being selected?
Answer:
a) P(Blue) = 1/3
b) P(Red) = 2/3
c) Red card has a higher chance of being selected as compared to Blue card.
Step-by-step explanation:
We know that probability is given by
[tex]P(x) = \frac{Number \:of\: desired \:outcomes}{Total\: number \:of\: outcomes}[/tex]
a)
The probability of selecting a Blue card is,
[tex]P(Blue) = \frac{Number \:of\: Blue \:cards}{Total \:number \:of\: cards}\\\\P(Blue) = \frac{2}{6}\\\\P(Blue) = \frac{1}{3}[/tex]
b)
The probability of selecting a Red card is,
[tex]P(Red) = \frac{Number \:of\: Red \:cards}{Total \:number \:of\: cards}\\\\P(Red) = \frac{4}{6}\\\\P(Red) = \frac{2}{3}[/tex]
c)
The probability of selecting a Red card is greater (2/3) as compared to Blue card (1/3) therefore, Red card has a higher chance of being selected as compared to Blue card.
