Question

Assume that in your hand you hold an ordinary six-sided die and a dime. you toss both the die and the dime on a table.

a. what is the probability that a head appears on the dime and a six on the die?

b. what is the probability that a tail appears on the dime and any number more than 3 on the die?

c. what is the probability that a number larger than 2 appears on the die?

Answer 1

a. probablity of Dime is$\frac{1}{2}$ and probablity of dice is $\frac{1}{6}$

b. probablity of Dime is$\frac{1}{2}$ and probablity of dice is$\frac{3}{6}$

c. probablity of dice is$\frac{4}{6}$

Answer 2

Answer:

Step-by-step explanation:

a) probability of head appearing on the die is ½

probability of a six on the die is 1/6

as P(A⋂B)=P(A)P(B)

so we have,

1/2×1/6=1/12

b) probability of tail appearing on the die is ½

probability of any number more than 3 on the die is 3/6

so we have

           1/2×3/6=1/4

c) 1/6+1/6+1/6+1/6=4/6=2/3