Let A ,   B and C be three events, which are pair-wise independent and E ¯ denotes the complement of an event E . If P A ∩ B ∩ C = 0 and P C > 0 , then P A ¯ ∩ B ¯ | C is equal to

Question

Let A , &#160; B and C be three events, which are pair-wise independent and E &#175; denotes the complement of an event E . If P A &#8745; B &#8745; C = 0 and P C &#62; 0 , then P A &#175; &#8745; B &#175; | C is equal to

Aicharya · Accepted Answer

P A &#175; &#8745; B &#175; | C = P A &#175; &#8745; B &#175; &#8745; C P C = P C - P A &#8745; C - P B &#8745; C + P A &#8745; B &#8745; C P C = P C - P A P C - P B P C P C = 1 - P A - P B = P A &#175; - P B or P B &#175; - P A

Let A ,   B and C be three events, which are pair-wise independent and E ¯ denotes the complement…

Solution

Let A , &#160; B and C be three events, which are pair-wise independent and E &#175; denotes the complement…

Solution

Let A , B and C be three events, which are pair-wise independent and E ¯ denotes the complement…