Answer :
Answer:
[tex]P(E) = \frac{10}{25} = 0.4[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have that:
Total Outcomes
Format: (Card 1, Card 2)
(1,1), (1,2), (1,3), (1,4), (1,5)
(2,1), (2,2), (2,3), (2,4), (2,5)
(3,1), (3,2), (3,3), (3,4), (3,5)
(4,1), (4,2), (4,3), (4,4), (4,5)
(5,1), (5,2), (5,3), (5,4), (5,5)
There are 25 total outcomes
Let E be the event "the second card has a (strictly) larger number than the first card." Find P(E).
There are 10 outcomes in which the second card has a strictly larger number than the first card. They are:
(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)
So
[tex]P(E) = \frac{10}{25} = 0.4[/tex]