Example 11* (Optional) - Chapter 14 Class 10 Probability

Transcript

Example 11* (Optional) A missing helicopter is reported to have crashed somewhere in the rectangular region shown in Fig. 15.2. What is the probability that it crashed inside the lake shown in the figureHere, we use area to find probability First, let us find length and height of the lake Length of lake = 9 – 6 = 3 km Breadth of lake = 4.5 – 2 = 2.5 km Now, Area of lake = 3 km × 2.5 km Total Area = 4.5 km × 9 km Now, P (helicopter will fall in lake) = (𝑨𝒓𝒆𝒂 𝒐𝒇 𝒍𝒂𝒌𝒆)/(𝑻𝒐𝒕𝒂𝒍 𝑨𝒓𝒆𝒂) = (3 × 2.5)/(4.5 × 9) = (3 × 25)/(45 × 9) = (1 × 25)/(45 × 3) = (1 × 5)/(9 × 3) = 5/27 So, Probability is 𝟓/𝟐𝟕