Question

You spin the spinner twice.5243What is the probability of landing on a number less than 3 and then landing on a 5?Simplify your answer and write it as a fraction or whole number.Submit

Answer 1

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:

$P(A\text{ }and\text{ }B)=P(A)\times P(B)$$P(A\text{ }and\text{ }B)=\frac{1}{4}\times\frac{1}{4}$$P(A\text{ }and\text{ }B)=\frac{1}{16}$

Answer:

The probability of landing on a number lesser than 3 AND landing on a 5 on the next spin is 1/16.