The underlying type of Card might be the same as the underlying type of string (which is itself: string), but the underlying type of []Card is not the same as the underlying type of []string (and therefore the same applies to Hand).
You cannot convert a slice of T1 to a slice of T2, it's not a matter of what underlying types they have, if T1 is not identical to T2, you just can't. Why? Because slices of different element types may have different memory layout (different size in memory). For example the elements of type []byte occupy 1 byte each. The elements of []int32 occupy 4 bytes each. Obviously you can't just convert one to the other even if all values are in the range 0..255.
But back to the roots: if you need a slice of Cards, why do you create a slice of strings in the first place? You created the type Card because it is not a string (or at least not just a string). If so and you require []Card, then create []Card in the first place and all your problems go away:
value := []Card{"a", "b", "c"}
firstHand := NewHand(value)
fmt.Println(firstHand)
Note that you are still able to initialize the slice of Card with untyped constant string literals because it can be used to initialize any type whose underlying type is string. If you want to involve typed string constants or non-constant expressions of type string, you need explicit conversion, like in the example below:
s := "ddd"
value := []Card{"a", "b", "c", Card(s)}
If you have a []string, you need to manually build a []Card from it. There is no "easier" way. You can create a helper toCards() function so you can use it everywhere you need it.
func toCards(s []string) []Card {
c := make([]Card, len(s))
for i, v := range s {
c[i] = Card(v)
}
return c
}
Some links for background and reasoning:
Go Language Specification: Conversions
why []string can not be converted to []interface{} in golang
Cannot convert []string to []interface {}
What about memory layout means that []T cannot be converted to []interface in Go?