Garrett Throws A Dart At A Circular Dartboard (2024)

FAQs

What is the probability that the dart hits a point in the circle? ›

Assuming that the dart hits the board and that it is equally likely to land on any point on the board, what is the probability that the dart lands in the circle? area of the circle to the area of the square. So, the probability of the dart landing in the circle is about 5%.

The dartboard paradox: The probability of hitting any specific point on the dartboard is zero. However the probability of hitting somewhere on the dartboard is 1.

The original target in the game is likely to have been a section of a tree trunk, its circular shape and concentric rings giving rise to the standard dartboard pattern in use today.

The official electronic dart board height, also known as a soft tip dart board, is 173cm (5 feet, 8 inches) from the floor to the bullseye. The soft tip dart board throwing distance is 244cm (8 feet). An increase from the previous distance of 237cm.

Let R be the radius of the original circle. If randomly selecting a point from the circle implies that every point in the circle has the same (relative) probability of being picked, then the first approach is correct. That is, the probability of a random point being within the circle of radius R/2 is π(R/2)2πR2=14.

Assuming a square dartboard for simplicity, if the dartboard has an area of 1 square unit and the square has an area of 3 square units, the probability that the dart lands within the dartboard would be (1/3) imes 100 = 33.3%.

"Taken to its logical extreme," Dr. Malkiel wrote, the theory "means that a blindfolded monkey throwing darts at a newspaper's financial pages could select a portfolio that would do just as well as one carefully selected by the experts."

There's some logic behind having the high value/low value and even/odd numbers intermixed around the board. Doing so sets up a risk versus reward consideration when selecting targets. It's not quite optimal in that respect, but it's not far off. The left board below is the standard board layout.

The intention is to penalise poor throwing by placing the higher numbers next to the lower numbers as far as possible, although there are arrangements of the numbers that do this more effectively than the existing arrangement.

The Hardest Number to Hit: Double 3

Considering the factors mentioned above, many darts players argue that Double 3 is the hardest number to hit. Here's why: Small Target Area: As a double, it has a smaller target area compared to the single scoring segment.

Why is the bullseye only worth $50? ›

Circular wires within the outer wire subdivide each section into single, double and triple areas. So, hitting the bullseye gives you 50 points and hitting triple 20 gives you 60 points, simple as that.

The first two to consider are in the center — the inner and outer bullseye circles. In most games, these give high scores. The center circle is often worth double the points of the outer ring. Most games reward 50 points for a double bullseye and 25 for the outer circle.

As you can see in the diagram, regulation dartboard height has the bull's eye at 5' 8" from the floor for both soft tip and steel tip darts. Regulation distance from the dartboard face is 7' 9-1/4" for steel tip darts and 8' for soft tip darts.

Starting at an odd number like 501 ensures that players cannot win the game with an even number of throws without hitting a double. If the game began at 500, a player could theoretically finish the game with 25 throws, hitting 20 points (a single 20) in each throw, without ever needing to hit a double.

We learn from the animation that only the very best players should aim for triple 20, followed by 'good' players aiming for triple 19. Medium players should aim for generally around the 8/11/16 sectors, and as players get worse they should aim closer and closer to the centre.

If you hit the outer ring, you get double that value. If you hit the inner ring, you get triple. The bullseye is in the center of the board. Landing on the outer ring gets you 25 points, and landing on the inner ring is 50.

Probability that this point is close to the circumference than to the centre=(3Πr2/4)/Πr2=3/4. Was this answer helpful?

Expert-Verified Answer

The probability that the dart will hit a spot in the shaded square is 0.028.

The probability that die would land on the circular area =P(Event)/P(Total)=π/24.