Explanation:

Here’s how I’d think about it:

- Cricket : Bat — Cricket is played with a bat; that's the essential equipment.

- Hockey : Stick — Hockey is played with a stick; stick is to hockey as bat is to cricket.

- Rugby : ? — So, what’s the main piece of equipment in rugby?

Let’s look at your options:

- Ball — Okay, rugby is played with a ball, but so are cricket and hockey. This isn’t what sets rugby apart.

- Goal — Not really; rugby does have goalposts, but you can’t play with them.

- Field — That’s just the playing area, not personal equipment.

- Player — Every sport has players, doesn’t get at the equipment.

Here’s the thing: “bat” and “stick” are the main equipment used to interact with the ball in their sports. In rugby, the only real “equipment” is the ball itself. So “ball” fits the pattern best.

So, the answer is:

Option 1: Ball.