a soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. the probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. what is the probability that a customer loses on their first two bottles and wins on their third bottle?



Answer :

The probability that a customer loses on their first two bottles and wins on their third bottle is 0.968

What is probability?

The likelihood of an event happening is gauged by probability.

The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

The chance of every event in a sample space is 1, overall.

∵ the customer can not win on first or second bottle i.e.

0.2×0.2×0.8 = 0.032

∴probability that a customer loses on their first two bottles and wins on their third bottle is given by:

= 1 - 0.032

= 0.968

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