By a process to be described later, we will randomly form a 7-digit number where
ID: 3051026 • Letter: B
Question
By a process to be described later, we will randomly form a 7-digit number where . Only the last digit (ones place) can be zero. .all 7 digits must be different. Consider the sample space S consisting of all possible 7-digit numbers satisfying the above constraints All 7-digit mmbers satisfying: Sall digits different only the last digit can be zero The sample space above is partitioned (divided or separated) into the 7-digit numbers that end in zero and those 7-digit numbers that do not end in zero. All 7-digit umbers satisfying:] i all digits different last digit is zero All 7-digit umbers satisfying i all digits different l no digits are zerc Since the sample space them all. It shall be your e contains literally thousands of elements, it is unreasonable to list task to count them:Explanation / Answer
Probability of a number which does not have a zero P(4592731) (1/362880) 0.00000275573 1 Probability of tail 0.5 2 Probability of getting 4 is (1/9) 0.111111111 3 Probability of getting 5 is (1/8) 0.125 4 Probability of getting 9 is (1/7) 0.142857143 5 Probability of getting 2 is (1/6) 0.166666667 6 Probability of getting 7 is (1/5) 0.2 7 Probability of getting 3 is (1/4) 0.25 8 Probability of getting 1 is (1/3) 0.333333333 Probability goes on changing because of no repetition or without replacement Probability of a number which have a zero P(8563470) (1/120960) 0.00000826720 1 Probability of head and so last number 0 0.5 2 Probability of getting 4 is (1/9) 0.111111111 3 Probability of getting 5 is (1/8) 0.125 4 Probability of getting 9 is (1/7) 0.142857143 5 Probability of getting 2 is (1/6) 0.166666667 6 Probability of getting 7 is (1/5) 0.2 7 Probability of getting 3 is (1/4) 0.25
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.