An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively. What is the probability that A selects the first red ball? Express your answer as a decimal rounded to the next hundredth, e. g. 0.24 for 0.23932

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are places in which the other 2 red balls can be placed.

A red ball drawn third, there are places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are places in which the other 2 red balls can be placed.

The total number of total event is

The probability that A selects the first red ball is

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step-by-step explanation:

explanation:

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