Question

If Quinn tosses a fair coin and then rolls a fair number cube labeled 1 through 6, what is the probability of tossing heads followed by rolling a number less than 4?

Answer 1

(1/2)(3/6)=1/4

The probability of rolling a head (or tail for that matter is 1/2)

The probability of rolling less than 4 with a die is 3/6)

Thus the probability of both occurring is 1/4

Answer 2

Answer:
`(1)/(4)`

Explanation:

Given : If Quinn tosses a fair coin and then rolls a fair number cube labeled 1 through 6.

Event 1 : Tossing heads

Event 2 : Rolling a number less than 4.

Total outcomes on tossing a coin [tails , heads]= 2

Probability of tossing heads :
`P(E_1)=(1)/(2)`

Total outcomes on a fair number cube= 6

Number of outcomes less than 4 {1,2,3}=3

Probability of rolling a number less than 4 =
`P(E_2)=(3)/(6)=(1)/(2)`

Since , both the events are independent events , then

The probability of tossing heads followed by rolling a number less than 4 :-

`P(E_1)* P(E_2)=(1)/(2)*(1)/(2)=(1)/(4)`

Hence, the probability of tossing heads followed by rolling a number less than 4 =
`(1)/(4)`