Chisomo Traders is involved in supplying office equipment, stationery, and other supplies. The business has recently bid for 12 tenders advertised by various government MDAs and private organizations. Whenever it responds to such tenders, there is a 90% chance of winning a tender.

Find the probability that less than three tenders will be rejected.

Hey there! To find the probability that less than three tenders will be rejected, we can calculate the probability of winning 0, 1, or 2 tenders and then add these probabilities together.

The probability of winning a tender is 90%, so the probability of losing a tender is 10%.

Let's break it down:
- Probability of winning 0 tenders: (0.1)^12 (as there are 12 tenders and all are lost)
- Probability of winning 1 tender: 12C1 * (0.9)^1 * (0.1)^11 (choose 1 tender to win and the rest to lose)
- Probability of winning 2 tenders: 12C2 * (0.9)^2 * (0.1)^10 (choose 2 tenders to win and the rest to lose)

After calculating these probabilities, you can add them together to find the total probability of winning less than three tenders.