To get the probability of an event, we need two things:
1. The total number of possibilities
2. The total number of possibilities considered favorable
For the first event A which is landing on a number less than 3, we only have one favorable possible which is landing on 2.
For the second event B which is landing on a 5, we also only have one favorable possible which is landing a 5 itself.
Now, for both events, the total number of possibilities is 4.
So, the probability of landing on a number less than 3 is 1/4 while the probability of landing on a 5 is also 1/4.
So, the probability of landing on a number lesser than 3 AND landing on a 5 is:
[tex]P(A\text{ }and\text{ }B)=P(A)\times P(B)[/tex][tex]P(A\text{ }and\text{ }B)=\frac{1}{4}\times\frac{1}{4}[/tex][tex]P(A\text{ }and\text{ }B)=\frac{1}{16}[/tex]
Answer:
The probability of landing on a number lesser than 3 AND landing on a 5 on the next spin is 1/16.
