Question

You are bidding on sixsix items available on an online shopping site. You think that for each bid you have a 2020​% chance of winning​ it, and the outcomes of the sixsix bids are independent events. Let X denote the number of winning bids out of the sixsix items you bid on. Find the probabilities.

Answer 1

Title:

The desirable probability is $^6C_X\times (\frac{1}{5} )^X \times (\frac{4}{5} )^{6 - X}$.

Step-by-step explanation:

There is a 20% chance of winning a bid.

Hence, the chance of losing a bid is (100 - 20) = 80%.

It is given that i have win in X bids out of total 6 bids.

I have loosed in (6 - X) bids.

Again, from 6 bids we can chose X bids in $^6C_X$ ways.

Hence, the required probability is $^6C_X\times (\frac{20}{100} )^X \times (\frac{80}{100} )^{6 - X} = ^6C_X\times (\frac{1}{5} )^X \times (\frac{4}{5} )^{6 - X}$.