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Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 9 sub question (i).

Answers (1)

Answer: 1

Hint: \text{Probability}=\frac{\text{No. of outcomes}}{\text{Total no.of Outcomes }}

Given, A=Tail appears on one coin

            B=One coin shows head

Solution:

Clearly,

\begin{aligned} &\mathrm{A}=\{(\mathrm{H}, \mathrm{T}),(\mathrm{T}, \mathrm{H})\} \\ &\mathrm{B}=\{(\mathrm{H}, \mathrm{T}),(\mathrm{T}, \mathrm{H})\} \end{aligned}
P(A) = 2
P(B) = 2

Now, \mathrm{A} \cap \mathrm{B}=\{(\mathrm{H}, \mathrm{T}),(\mathrm{T}, \mathrm{H})\}

 

Required Probability =P\left(\frac{A}{B}\right)=\frac{P(A \cap B)}{P(B)}=\frac{2}{2}=1

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