Question

Shironda rolls a number cube(six sides) and chooses a card from a standard deck of cards(52 cards).

What is the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck?

Answer 1

`(1 / 6) * (4 / 52)`
Answer= 1 in 78

Answer 2

Answer:
`(1)/(78)`

Explanation:

Let A be the event that Shironda rolls a 5 on the number cube andB be the event that she chooses a 5 from the deck.

Then
`P(A)=(1)/(6)`

and
`P(B)=(4)/(52)`

Since both the events are independent.

Therefore, the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck is given by :-

`P(A\cap B)=P(A)* P(B)\\\\\RightarrowP(A\cap B)=(1)/(6)*(4)/(52)=(1)/(78)`

Hence, the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck =
`(1)/(78)`