(See Steps) Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested
Question: Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1
- The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1 ?
- What is the probability that the first two tosses are not 1's and the third toss is a 1 ? This is the probability that the first 1 occurs on the third toss.
- Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?
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