Answer :
Cara has a 25/216 chance of waiting until her third throw before throwing a six.
Define the term sample space?
- A sample space is a set of potential results from a random experiment.
- The letter "S" is used to denote the sample space.
- Events are the subset among possible experiment results.
- Depending on the experiment, a sample area could contain a variety of results.
for the stated question-
Total times the dice is thrown = 3.
Total number of sample space = 6 x 6 x 6 = 216.
The probability of coming six = 1/6
The probability of not coming six = 1 - 1/6 = 5/6.
Probability of getting 6 in third throw = 5/6 x 5/6 x 1/6
Probability of getting 6 in third throw = 25/216
Thus, Cara has a 25/216 chance of waiting until her third throw before throwing a six.
To know more about the sample space, here
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