The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P (A ∩ B) = .07. Determine (a) P (B ∩ C) (b) Probability of exactly one of the three occurs.

Home » The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P (A ∩ B) = .07. Determine (a) P (B ∩ C) (b) Probability of exactly one of the three occurs.

The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P (A ∩ B) = .07. Determine
(a) P (B ∩ C)
(b) Probability of exactly one of the three occurs.

CBSE | Class 11 | Maths | NCERT Exemplar | Probability

The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P (A ∩ B) = .07. Determine
(a) P (B ∩ C)
(b) Probability of exactly one of the three occurs.

NCERT Exemplar Solutions For Class 11 Maths Chapter 16 - Image 9

Solution:

It is given that $\mathrm{P}(\mathrm{A} \cap \mathrm{B})=0.07$
From the Venn Diagram given

(a) $P(B \cap C)$

NCERT Exemplar Solutions For Class 11 Maths Chapter 16 - Image 14
From the Venn diagram we have
$P(B \cap C)=0.15$
(b) Probability of exactly one of the three occurs