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In a certain instant lottery game comma the chances of a wininstant lottery game, the chances of a winare stated as ​"77in 1717​." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.What is the probability?

Question

In a certain

instant lottery game comma the chances of a wininstant lottery game, the chances of a win

are stated as

"77

in

1717."

Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

What is the probability?

check_circleAnswer
Step 1

Concept of probability:

Probability deals with the likelihood of occurrence of a given event. The probability value lies between 0 and 1. An event with probability 1 is considered as certain event and an event with probability 0 is considered as an impossible event. The probability of 0.5 infers of having equal odds of occurring and not occurring of an event.

The general formula to obtain probability of an event A is,

P(A) = (number of favorable elements for event A)/(Total number of elements in the sample space).

The basic properties of probability are given below:

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Step 2

Find the probability of winning the instant lottery game:

Here, it is given that in a certain win instant lottery game, the chances of win are stated as 77 in 1,717.

That is, the total number of outcomes are n(S) = 1,717 and the number of favorable outcomes are n(A) = 77.

Therefore, the degree of likelihood of winning the instant lottery game is 77...

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