The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.</span>
Step-by-step explanation:






Taking sin²θ common in both numerator & denominator, We get :










<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>
Answer:
20 ft.
Step-by-step explanation:
7 ft and 3 ft.
3*2=6
7*2=14
6+14=20.
315. You just need to take the total and subtract by 60.
Answer:
3 11/20 miles
Step-by-step explanation:
Monday = seven -quarters of a mile
= 7/4 miles
Tuesday = nine-fifths of a mile
= 9/5 miles
How many miles did she ride altogether?
Total miles she rode altogether = Monday + Tuesday
= 7/4 + 9/5
= (35+36)/20
= 71/20
= 3 11/20
Total miles she rode altogether = 3 11/20 miles