Answer to Question #336362 in Statistics and Probability for jenn

Question

A Jar contains 24 red marbles numbered 1 to 24 and 50 blue marbles numbered 1 to 50. A marble is drawn at random from the Jar. Find the probability of the given event. Please enter reduced fractions.

a) The marble is red. P(red)=

b) The marble is odd numbered. P(odd)=

c) The marble is red or odd numbered. P(red or odd)=

d)The marble is blue or even numbered. P(blue or even)=

Answer 1

a)

$$P(Red)=\dfrac{24}{24+50}=\dfrac{12}{37}$$

b)

$$P(Odd)=\dfrac{12+25}{24+50}=\dfrac{1}{2}$$

c)

$$P(Red\cup Odd)=\dfrac{24+25}{24+50}=\dfrac{49}{74}$$

d)

$$P(Blue\cup Even)=\dfrac{12+50}{24+50}=\dfrac{31}{37}$$