Calculate P(B) given P(A' ∩ B) = 1/7 and P(A ∩ B) = 2/9.

April 4, 2026Mathematics

ScanSolve AI Answer

April 4, 2026

Answer

$P(B) = P(A \cap B) + P(A' \cap B)$

Here's the solution to question 1:

1. (i) Events A and B Given: $P(A' \cap B) = \frac{1}{7}$ $P(A \cap B) = \frac{2}{9}$

a) Calculate $P(B)$ The event B can be expressed as the union of two disjoint events: $(A \cap B)$ and $(A' \cap B)$ . Therefore, $P(B) = P(A \cap B) + P(A' \cap B)$ . $P(B) = \frac{2}{9} + \frac{1}{7}$ To add these fractions, find a common denominator, which is $

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QName any 10 Natural objects and show Symmetry. (5 Marks)QThe national budget allocated Rs 27,50,000 Crore for education. Write this amount using digits & exp…QIndia's Population in 2023 was approximately 142,86,18000 write this in the international system and…QThe frequency table shows the distribution of marks obtained by 50 learners in a Mathematics test. (…Q(x+y)2 * d2y/dx2 = xy + 1. Differentiate both sides in 2(x+y).

See all Mathematics questions →

Still have questions?

Quick Answer

Here's the solution to question 1: 1. (i) Events A and B Given: P(A' B) = (1)/(7) P(A B) = (2)/(9) a) Calculate P(B) The event B can be expressed as the union of two disjoint events: (A B) and (A' B).

Asked on April 4, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 4, 2026

Here's the solution to question 1: 1. (i) Events A and B Given: P(A' B) = (1)/(7) P(A B) = (2)/(9) a) Calculate P(B) The event B can be expressed as the union of two disjoint events: (A B) and (A' B). Therefore, P(B) = P(A B) + P(A' B). P(B) = (2)/(9) + (1)/(7) To add these fractions, find a common denominator, which is $