Alice throws a pair of dice without being seen by Bob and tells him th.docx
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Alice throws a pair of dice without being seen by Bob and tells him that both numbers are at least four. 1. What is the probability that their sum is 9? 2. What is the probability that both numbers are the same? Hint: the sample space in this problem is set S containing all pairs (1, 1) (1, 2). . .(1, 6) (2, 1) (2, 2). . .(2, 6) (6, 1) (6, 2). . .(6, 6). .
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void deleterear();
bool isFull();
bool isEmpty();
int getFront();
int getRear();
};
// Checks whether Deque is full or not.
bool Deque::isFull()
{
return ((front == 0 && rear == size-1)||
front == rear+1);
}
// Checks whether Deque is empty or not.
bool Deque::isEmpty ()
{
return (front == -1);
}
// Inserts an element at front
void Deque::insertfront(int key)
{
// check whether Deque if full or not
if (isFull())
{
cout << "Overflow\n" << endl;
return;
}
// If queue is initially empty
if (front == -1)
{
front = 0;
rear = 0;
}
// front is at first position of queue
else if (front == 0)
front = size - 1 ;
else // decrement front end by '1'
front = front-1;
// insert current element into Deque
arr[front] = key ;
}
// function to inset element at rear end
// of Deque.
void Deque ::insertrear(int key)
{
if (isFull())
{
cout << " Overflow\n " << endl;
return;
}
// If queue is initially empty
if (front == -1)
{
front = 0;
rear = 0;
}
// rear is at last position of queue
else if (rear == size-1)
rear = 0;
// increment rear end by '1'
else
rear = rear+1;
// insert current element into Deque
arr[rear] = key ;
}
// Deletes element at front end of Deque
void Deque ::deletefront()
{
// check whether Deque is empty or not
if (isEmpty())
{
cout << "Queue Underflow\n" << endl;
return ;
}
// Deque has only one element
if (front == rear)
{
front = -1;
rear = -1;
}
else
// back to initial position
if (front == size -1)
front = 0;
else // increment front by '1' to remove current
// front value from Deque
front = front+1;
}
// Delete element at rear end of Deque
void Deque::deleterear()
{
if (isEmpty())
{
cout << " Underflow\n" << endl ;
return ;
}
// Deque has only one element
if (front == rear)
{
front = -1;
rear = -1;
}
else if (rear == 0)
rear = size-1;
else
rear = rear-1;
}
// Returns front element of Deque
int Deque::getFront()
{
// check whether Deque is empty or not
if (isEmp.
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