A small combination lock on a suitcase has 4 wheels each lab

A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits from 0 to 9. lf an opening combination is a particular sequence of 4 digits with no repeats, what is the probability of a person guessing the right combination? The probability of a person guessing the right combination is IType a fraction. Simplify your answer.) An experiment consists of dealing 5 cards from a standard 52-card deck. What is the probability of being dealt 5 hearts? The probability of being dealt 5 hearts is (Round to six decimal places as needed.) Each of two computers randomly generate a number between 5 and 10, then finds the sum of the two values. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum is divisible by 2. EE Click the icon to view the computer generated outputs. The probability the sum of the two dice is divisible by 2 is (Type an integer or a simplified fraction.)

Solution

1.

To choose the first digit person has total 10 choices or

ways to choose first digit = 10C1

Now it\'s given that digits don\'t repeat, So

ways to choose second digit = 9C1 = 9

ways to choose third digit = 8C1 = 8

ways to choose fourth digit = 7C1 = 7

Total ways = 10*9*8*7 = 5040 ways

2.

Probability = favourable outcome/total outcomes

P(hearts) = 13C5/52C5

P(hearts) = 13*12*11*10*9/(52*51*50*49*48) = 0.000495