Understanding Necessary and Sufficient Conditions

What is a necessary condition for someone to qualify as a U.S. president?

• Being at least 30 years old

• Being a natural-born citizen

• Being a resident of Washington D.C.

• Having a college degree

In the context of jury duty in Massachusetts, what is a necessary condition?

• Being a registered voter

• Being at least 18 years old

• Having a driver's license

• Owning property in Massachusetts

Which of the following is a sufficient condition for scoring a goal in soccer?

• Being the team captain

• Playing on a sunny day

• Wearing the team jersey

• Kicking the ball into the net

What is an example of a condition that is both necessary and sufficient?

• Typing on a smartphone to send a text

• Pressing a key on a piano to produce sound

• Crossing the street at a crosswalk

• Being 18 to vote in elections

In mathematics, what is a sufficient condition for a number to be even?

• The number ends in 1

• The number ends in 2

• The number is a prime number

• The number is greater than 10