Question

I choose a card from a standard deck of cards and then i roll a number cube. what is the probability that I choose a heart and roll a 2

Answer 1

Probability of choosing a heart and rolling a 2 =
`(1)/(24)`

Explanation:

Let A be the event of choosing a heart from a standard deck of cards and

B be the event of rolling a 2.

Clearly, A and B are independent events as none of the events does not affect the probability of occurrence of other event.

Therefore, P(A∩B) = P(A) × P(B)

P(A) =
`(Number of heart cards)/(Total number of cards)`

`=(13)/(52)`

`=(1)/(4)`

P(B) =
`(1)/(6)`

P(A∩B) = P(A) × P(B)

=
`(1)/(4) ((1)/(6) )`

`=(1)/(24)`