Answer: P(5A) = 0
Step-by-step explanation:
There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;
P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0
Therefore, it is impossible to get 5 aces from a standard 52 cards deck
Answer:
Step-by-step explanation:
Theres no photo
Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is


where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as



Now, we can say that m>n because m and n are positive integers.
For n=1,


19 is not divisible by 5 so m is not an integer for n=1.
For n=2,



The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

Therefore the smallest positive integer solution to the given system of congruences is 30.