Example 3 - Chapter 7 - The Mathematics of Maybe: Introduction to Probability

Transcript

Example 3 If you roll a standard 6-sided die, what is the theoretical probability of getting a 4? Now, P(getting a 4) = (𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔 𝒘𝒉𝒆𝒓𝒆 𝒘𝒆 𝒄𝒂𝒏 𝒈𝒆𝒕 𝟒)/(𝑻𝒐𝒕𝒂𝒍 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔) Total outcomes are 1, 2, 3, 4, 5, 6 ∴ Total number of outcomes = 6 And, Number of outcomes where can get 4 = 1 Thus, P(getting a 4) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤ℎ𝑒𝑟𝑒 𝑤𝑒 𝑐𝑎𝑛 𝑔𝑒𝑡 4)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 𝟏/𝟔