Math

QuestionFind P(AP(A or B)B) given P(A)=0.4P(A)=0.4, P(B)=0.5P(B)=0.5, and P(A and B)=0.3P(A \text{ and } B)=0.3. Round to two decimal places.

Studdy Solution

STEP 1

Assumptions1. The probability of event A, denoted as(A), is0.4. The probability of event B, denoted as(B), is0.53. The probability of both events A and B occurring, denoted as(A and B), is0.3

STEP 2

We can find the probability of either event A or event B occurring, denoted as(A or B), using the formula(AorB)=(A)+(B)(AandB)(A\, or\, B) =(A) +(B) -(A\, and\, B)

STEP 3

Now, plug in the given values for(A),(B), and(A and B) to calculate(A or B).
(AorB)=0.+0.50.3(A\, or\, B) =0. +0.5 -0.3

STEP 4

Calculate the probability of either event A or event B occurring.
(AorB)=0.4+0.0.3=0.6(A\, or\, B) =0.4 +0. -0.3 =0.6The probability of either event A or event B occurring is0.6.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord