A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%. Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal the discount. What is the probability that none of the coupons reveal a discount of 50%?

Upper P (Upper X = k) = (StartBinomial n choose k EndBinomial) (p) Superscript k Baseline (1 minus p) Superscript n minus k

Round to 3 decimal places.