Question

A jar contains 10 red marbles numbered 1 to 10, 4 blue marbles numbered 1 to 4, and 6 white marblesnumbered 1 to 6. A marble is drawn at random from the jar. Find the probability of the given event. Write youranswers as integers or reduced fractions.(a) The marble is red.(b) The marble is not red.(c) The marble has the number 1 written on it.(d) The marble is blue with the number 3 written on it.(e) The marble has the number 20 written on it.

Answer 1

$\text{probability}=\frac{\text{ number of favourable outcomes}}{total\text{ number of outcomes}}$

total number of outcomes = 10 + 4 + 6 = 20

$\text{ P(marble is red)=}\frac{10}{20}=\frac{1}{2}$$\text{ P(marble is not red)=}\frac{4+6}{20}=\frac{1}{2}$$\text{ P(number 1)}=\frac{3}{20}$$\text{ P(blue and number 3)=}\frac{1}{20}$$\text{ P(number 20)=}\frac{0}{20}=0$