Question

Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5, and rolls a number less than 5?

Answer 1

`(1)/(3)`Answer:

2/9

Explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards =
`P(1,2,3, or 4) = (2)/(3)`

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 =
`(1)/(6)`

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

=
`(1)/(3)`*
`(2)/(3)`

=
`(2)/(9)`