if the odds of dying from all possible causes are 1 in 1, here are the lifetime odds of death for selected causes, from most likely to least:

Cause of Death

Odds of Dying

Heart Disease and Cancer

1 in 7

Chronic Lower Respiratory Disease

1 in 28

Intentional Self-harm

1 in 95

Unintentional Poisoning by and Exposure to Noxious Substances

1 in 96

Motor Vehicle Crash

1 in 114

Fall

1 in 127

Assault by Firearm

1 in 370

Car Occupant

1 in 645

Pedestrian Incident

1 in 647

Motorcycle Rider Incident

1 in 985

Unintentional Drowning and Submersion

1 in 1,188

Exposure to Fire, Flames or Smoke

1 in 1,498

Choking from Inhalation and Ingestion of Food

1 in 3,461

Pedacyclist Incident

1 in 4,486

Firearms Discharge

1 in 6,905

Air and Space Transport Incidents

1 in 9,821

Exposure to Electric Current, Radiation, Temperature and Pressure

1 in 15,212

Exposure to Excessive Natural Heat

1 in 16,584

Contact with Sharp Objects

1 in 38,174

Contact with Heat and Hot Substances

1 in 56,992

Contact with Hornets, Wasps and Bees

1 in 63,225

Cataclysmic Storm

1 in 66,335

Being Bitten or Struck by a Dog

1 in 112,400

Legal Execution

1 in 119,012

Lightning Strike

1 in 161,856

determine the probability that in a group of 3 people, at least one of them die from heart disease or cancer, and explain why it is so difficult to calculate this probability directly yet so easy to calculate it using a trick.