Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

score on last try: 0.5 of 1 pts. see details for more. at least one sco…

Question

score on last try: 0.5 of 1 pts. see details for more. at least one scored part is incorrect. jump to first changable incorrect part. > next question get a similar question you can retry this question below find the indicated probability given p(a)=0.45 p(b)=0.35 p(a or b)=0.65 find p(a and b)=0.13 enter an integer or decimal number more. are these events disjoint? yes no

Explanation:

Step1: Recall probability formula

Use the formula $P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$.

Step2: Rearrange formula to solve for $P(A\ and\ B)$

$P(A\ and\ B)=P(A)+P(B)-P(A\ or\ B)$.

Step3: Substitute given values

$P(A\ and\ B)=0.45 + 0.35-0.65$.

Step4: Calculate result

$P(A\ and\ B)=0.15$.

Answer:

$P(A\ and\ B)=0.15$, No