Let E 1 and E 2 be two events such that the conditional probabilities P E 1 ∣ E 2 = 1 2 , P E 2 ∣ E 1 = 3 4 and P E 1 ∩ E 2 = 1 8 . Then

Question

Let E 1 and E 2 be two events such that the conditional probabilities P E 1 &#8739; E 2 = 1 2 , P E 2 &#8739; E 1 = 3 4 and P E 1 &#8745; E 2 = 1 8 . Then

Aicharya · Accepted Answer

P E 1 &#8745; E 2 P E 2 = 1 2 , &#160; P E 2 &#8745; E 1 P E 1 = 3 4 , &#160; P E 1 &#8745; E 2 = 1 8 &#8658; &#160; P E 2 = 1 4 , &#160; P E 1 = 1 6 , &#160; P E 1 &#8746; E 2 = 1 6 + 1 4 - 1 8 = 7 24 P E ' &#8745; E 2 ' = P E 1 &#8746; E 2 ' = 1 - 7 24 = 17 24 P E 2 ' = 3 4 &#160;&#160; &#8658; P E 1 &#8745; E 2 = P E 1 P E 2 ' P E 1 &#8745; E 2 ' = P E 1 - P E 1 &#8745; E 2 = 1 6 - 1 8 = 1 24 P E 1 &#8745; E 2 ' = P E 1 &#183; P E 2

Let E 1 and E 2 be two events such that the conditional probabilities P E 1 ∣ E 2 = 1 2 , P E 2 &#8739…

Solution

Let E 1 and E 2 be two events such that the conditional probabilities P E 1 &#8739; E 2 = 1 2 , P E 2 &#8739…

Solution

Let E 1 and E 2 be two events such that the conditional probabilities P E 1 ∣ E 2 = 1 2 , P E 2 &#8739…