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Samsung needs your assistance determining whether to source a critical component from outside Korea using either single or dual sourcing. - Samsung estimates the probability of a "super-event" which would knock out all of the potential suppliers (e.g. a natural disaster or global pandemic) to be 2.3% - Samsung estimates the probability that any given supplier fails independently of the others (e.g. due to a quality or yield failure) to be 6.5% - The cost to manage a supplier is $175,000 per year. - A total disruption of the order would create an annualized loss of $4.2 million per year. Calculate and enter the probability that all suppliers fail if using a single-sourcing (one supplier) strategy. Rounding instructions: - It is important on this problem to carry the probability calculations to 5 decimal places because they are multiplied by large numbers in the millions that will compound rounding differences. - E.g. the calculation =5/7=0.714286 should be carried to at least 0.71429 not 0.71 nor 0.714 . - Enter your final answer as a percentage between 0 and 100 without the percent sign rounded to the nearest thousandth of a percent. - This helps remind you to carry the calculation to 5 decimal places in later parts of the problem. - E.g. the calculation =5/7=0.714286 should be entered as 71.429