The Trace household has triplets who have just turned 16, and all of them want to drive the family car to school. To determine who drives, they each toss a coin and the odd person gets to drive. If all coins show heads or tails, they toss again. What is the probability that a decision will be reached in four or fewer tosses?
The Trace household has triplets who have just turned 16, and all of them want to drive the family car to school. To determine who drives, they each toss a coin and the odd person gets to drive. If all coins show heads or tails, they toss again. What is the probability that a decision will be reached in four or fewer tosses?
Leekley, Robert M.. Applied Statistics for Business and Economics
For geometric distribution, there are four requirements need to be fulfilled. These requirements are mentioned below.
- Each trial has only two possible outcomes (success or failure).
- The probability of success/failure should remains constant for each trial.
- The trials must be independent.
- The variable of interest is the number of trials required to get first success.
Assume, be the variable which follows the geometric distribution, representing the number of trials required to get first success, then the probability that , can be given as , where be the success probability and be the number of trials to get first success.
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