the 1st answer is 1/4 and answer for 2.15 is 1/10000 solution by Monte Carlo sim

Question

the 1st answer is 1/4 and answer for 2.15 is 1/10000

solution by Monte Carlo simulation. y married couples. Check your Two points are chosen at random on the perimeter of a unit square. Find the probability 2.14 that the two points are on opposite sides of the square. 2.15 Find the probability that a 9-digit social security number code is a palindrome. (A palin- drome reads identically from left to right and from right to left, so,for example, 555555555 and 123454321 are palindromes and 123456789 is not a palindrome Social security num- bers can have leading zeros.

Explanation / Answer

Solution:-

15) The probability that 9 digit security code is a palindrome = 1/10000

Total number of combination of getting 9 digit security code = 109

Ways of getting palindrome:-

For getting palindrome we can only choose first five digits only next 4 digits would be the same as first 4 in reverse order.

Ways of selecting first five digits = 105

The probability that 9 digit security code is a palindrome = 105 /109 = 1/10000

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