Login/Sign Up
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 (A) (b)
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 (A)
(b) P(B \cap \bar{C})
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 (A)
(b) P(B \cap \bar{C})

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(A)
NCERT Exemplar Solutions For Class 11 Maths Chapter 16 - Image 11
(b) P(B \cap \bar{C})
P(B \cap \bar{C})=P(B)-P(B \cap C)
Substitute the values,
\begin{array}{l} =0.07+0.10+0.15-0.15 \\ =0.07+0.10 \\ =0.17 \\ \mathrm{P}(\mathrm{B} \cap \overline{\mathrm{C}})=0.17 \end{array}

i

More Material