Solved Let A And B Be Two Events Such That Pa 0 4 Pb Chegg Com

By switzerlandersing On Sep 12, 2025

Solved Let A And B Be Two Events Such That P(A) = 0.4, PA U | Chegg.com

Solved Let A And B Be Two Events Such That P(A) = 0.4, PA U | Chegg.com Let a and b be two events such that: p (a) = 0.4, p (b) = 0.7, p (a union b) = 0.9 find p (a intersection b). find p (a^c intersection b). find p (a b). find p (a^c b) find p (a^c union b). find p (a intersection (b union a^c)). your solution’s ready to go!. Let a and b be two events associated with an experiment and suppose that p (a)=0.4 while p (aub)=0.7. let p (b)=p a) for what choice of p are a and b mutually exclusive?.

Solved Let A And B Be Two Events, Such That P(A)=0.41 And | Chegg.com

Solved Let A And B Be Two Events, Such That P(A)=0.41 And | Chegg.com In simple words, p (a|b) represents the probability of event a, considering that event b has already occurred. conditional probability also shows that the probability of event a is influenced by occurrence of event b, which makes event a and b dependent events. Hint – use the direct formula that p (a ∪ b) = p (a) p (b) p (a ∩ b), but make sure that condition for independent event is that p (a ∩ b) = p (a) × p (b), so the main formula gets changed to p (a ∪ b) = p (a) p (b) p (a) × p (b). Solution the probability of two independent events a and b occurring together (denoted as p (a and b) or p (a ∩ b)) is given by the product of their individual probabilities. To solve the problem, we need to find p (b ∩a), where b is the complement of event b. we are given the following probabilities: p (a∪b) = p (a) p (b)−p (a∩b) 0.5= 0.4 0.3−p (a∩b) 0.5= 0.7−p (a∩b) p (a∩b) =0.7−0.5 =0.2. now we need to find p (b ∩a). we can use the relationship: p (b ∩a) =p (a)−p (a∩b) p (b ∩a) =0.4−0.2. p (b ∩a) =0.2.

Solved Let A And B Be Two Events Such That: P(A) = 0:4; P(B) | Chegg.com

Solved Let A And B Be Two Events Such That: P(A) = 0:4; P(B) | Chegg.com Solution the probability of two independent events a and b occurring together (denoted as p (a and b) or p (a ∩ b)) is given by the product of their individual probabilities. To solve the problem, we need to find p (b ∩a), where b is the complement of event b. we are given the following probabilities: p (a∪b) = p (a) p (b)−p (a∩b) 0.5= 0.4 0.3−p (a∩b) 0.5= 0.7−p (a∩b) p (a∩b) =0.7−0.5 =0.2. now we need to find p (b ∩a). we can use the relationship: p (b ∩a) =p (a)−p (a∩b) p (b ∩a) =0.4−0.2. p (b ∩a) =0.2. Substituting in p (a ∪ b) = p (a) p (b) − p (a ∩ b), we have 0.7 = 0.4 p − 0 ⇒ p = 0.3. (ii) since a and b are independent, therefore, p (a ∩ b) = p (a) . p (b) i.e., p (a) p (b) – p (a ∪ b) = p (a) . p (b) substituting the given values we have 0.4 p – 0.7 = 0.4 × p ⇒ p = 0.5. There are 3 steps to solve this one. not the question you’re looking for? post any question and get expert help quickly. If two events, a and b, are such that p (a)=0.7, p (b)=0.4, and p (a∩b)=0.2, find the following: p (a|a∪b). probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. Video answer: our rules of probability can be used to calculate the probability of a and b using the data. the probability of a and b is 0.2 for a compliment and it's going to be the same as the idea.

Solved Problem 14* Let A And B Be Two Events Such That | Chegg.com

Solved Problem 14* Let A And B Be Two Events Such That | Chegg.com Substituting in p (a ∪ b) = p (a) p (b) − p (a ∩ b), we have 0.7 = 0.4 p − 0 ⇒ p = 0.3. (ii) since a and b are independent, therefore, p (a ∩ b) = p (a) . p (b) i.e., p (a) p (b) – p (a ∪ b) = p (a) . p (b) substituting the given values we have 0.4 p – 0.7 = 0.4 × p ⇒ p = 0.5. There are 3 steps to solve this one. not the question you’re looking for? post any question and get expert help quickly. If two events, a and b, are such that p (a)=0.7, p (b)=0.4, and p (a∩b)=0.2, find the following: p (a|a∪b). probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. Video answer: our rules of probability can be used to calculate the probability of a and b using the data. the probability of a and b is 0.2 for a compliment and it's going to be the same as the idea.

Solved Problem 14* Let A And B Be Two Events Such That | Chegg.com

Solved Problem 14* Let A And B Be Two Events Such That | Chegg.com If two events, a and b, are such that p (a)=0.7, p (b)=0.4, and p (a∩b)=0.2, find the following: p (a|a∪b). probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. Video answer: our rules of probability can be used to calculate the probability of a and b using the data. the probability of a and b is 0.2 for a compliment and it's going to be the same as the idea.