If P A - 12-P B - 13-P C - 12 and P A - B - P B - C - P C - A - 14 and P A - B - C - 18 then find PA- B- C-

Given, #160; P( A ) = 12,P( B ) = 13,P( C ) = 12 and #160; P( A ∩ B) = P( B ∩ C) = P( C ∩ A) = 14 and #160; P( A ∩ B ∩ C) = 18 .......(1)N ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Addition Theorem of Probability for 2 Events

If P A = 12...

Question

If $P (A) = \frac{1}{2}, P (B) = \frac{1}{3}, P (C) = \frac{1}{2} a n d$ $P (A \cap B) = P (B \cap C) = P (C \cap A) = \frac{1}{4} a n d$ $P (A \cap B \cap C) = \frac{1}{8}$ then find $P (A \cup B \cup C)$ .

Open in App

Solution

Suggest Corrections

Similar questions

P (A) = \frac{1}{4}

P (B) = \frac{1}{6}

P (C) = \frac{2}{3}

P (A \cup B \cup C) = P (A) + P (B) + P (C)

A, B, C

P (A \cup B \cup C) = P (A) + P (B) + P (C) - P (A \cap B) - P (B \cap C) - P (C \cap A) + P (A \cap B \cap C)

A, B, C

P (A \cup B \cup C) = P (A) + P (B) + P (C) - P (A \cap B) - P (b \cap C) - P (C \cap A) + P (A \cap B \cap C)

P (A) = 0.7, P (B) = 0.55, P (C) = 0.5, P (A \cap B) = x, P (A \cap C) = 0.45, P (B \cap C) = 0.3

P (A \cap B \cap C) = 0.2

P (A) = \frac{1}{3}, P (B) = \frac{1}{3}, P (C) = \frac{1}{4}

P (A^{'} \cap B^{'} \cap C^{'})

Join BYJU'S Learning Program