Answer: [tex]\frac{1}{78}[/tex]
Step-by-step 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 [tex]P(A)=\frac{1}{6}[/tex]
and [tex]P(B)=\frac{4}{52}[/tex]
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 :-
[tex]P(A\cap B)=P(A)\times P(B)\\\\\RightarrowP(A\cap B)=\frac{1}{6}\times\frac{4}{52}=\frac{1}{78}[/tex]
Hence, the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck = [tex]\frac{1}{78}[/tex]
