Question

Latricia determines that the probability of spinning an even number and then a 3 on the spinner below is 3/4 which best describes the accuracy of Latricia’s solution ?

Answer 1

Latricia’s solution is inaccurate. Her solution describes the probability of spinning an even number or a 3 in the same spin.

Explanation:

Answer 2

Answer with explanation:

Number on the Spinner are ={1,2,3,4}=4 in number

A= Spinning an even number

B= 3 on the spinner

Probability of an event

`=\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}`

Probability of getting an even number

= Either 2, or 4 from the set of 4 numbers.

`=(2)/(4)\\\\=(1)/(2)`

Probability of getting 3 on the spinner

`=(1)/(4)`

→A ∩ B=Getting an even number ∩ 3 on the Spinner

={2,4} ∩ {3}

= 0

P (A ∩ B )=0

→→P (A ∩ B)= Probability of spinning an even number and then a 3 on the spinner

As two events are mutually exclusive,that is A and B are disjoint.

So, P ( A∩B)=0

It should be,

→P(A ∪ B) =P(A) + P (B)- P (A ∩ B)

`=(2)/(4)+(1)/(4)\\\\=(3)/(4)`

Latricia is Incorrect.

Option B

Latricia’s solution is inaccurate. Her solution describes the probability of spinning an even number or a 3 in the same spin.