Is this a cryptographically strong Guid?

Question

I'm looking at using a Guid as a random anonymous visitor identifier for a website (stored both as a cookie client-size, and in a db server-side), and I wanted a cryptographically strong way of generating Guids (so as to minimize the chance of collisions).

For the record, there are 16 bytes (or 128 bits) in a Guid.

This is what I have in mind:

/// <summary>
/// Generate a cryptographically strong Guid
/// </summary>
/// <returns>a random Guid</returns>
private Guid GenerateNewGuid()
{
    byte[] guidBytes = new byte[16]; // Guids are 16 bytes long
    RNGCryptoServiceProvider random = new RNGCryptoServiceProvider();
    random.GetBytes(guidBytes);
    return new Guid(guidBytes);
}

Is there a better way to do this?

Edit: This will be used for two purposes, a unique Id for a visitor, and a transaction Id for purchases (which will briefly be the token needed for viewing/updating sensitive information).

Answer 1

In answer to the OP's actual question whether this is cryptographically strong, the answer is yes since it is created directly from RNGCryptoServiceProvider. However the currently accepted answer provides a solution that is most definitely not cryptographically secure as per this SO answer:

Is Microsoft's GUID generator cryptographically secure.

Whether this is the correct approach architecturally due to theoretical lack of uniqueness (easily checked with a db lookup) is another concern.