The Bakery has an equal number of cookies for every combination of flavour , shape and size .
The Total number of unique type is calculated by multiplying the number of options for each category
Flavours : 4 (Lemon , Chocolate, Vanilla , Strawberry)
Shapes: 3 (Star , Heart, Circle)
Sizes: 2( Small , Large)
Total Combinations : 4x3x2=24
Nina wants a large (L) , Star shaped(St) , Lemon(Le) cookie. We need to find the number of cookies that have at least two of these features.
Exactly Two Features
1. Large and star (but not lemon): There are three other flavours . Outcome = 3
2. Large and Lemon (But not star) : There are 2 other shapes . Outcome = 2
3. Star and Lemon(But not large ) : There is one other size . Outcome = 1
Exactly 3 : Large , star and lemon : exactly 1 matches.
Total number of successful outcomes
3(exactly 2 ) + 2(exactly 2 ) + 1 ( exactly 2) + 1(exactly 3) = 7
Probability = 7/24 ✅