Shoes & Dresses (Number of Possible Outcomes)
A girl has 16 pairs of shoes. If she chooses 1 pair to wear, how many possible outcomes?
16
She buys one hairband from {H1, H2} and one accessory from {Watch (W), Necklace (N)}
{(H1,W), (H1,N), (H2,W), (H2,N)}
A girl chooses ice cream: {Vanilla, Chocolate, Tiramisu, Matcha, Strawberry}. Write the sample space.
{Vanilla, Chocolate, Tiramisu, Matcha, Strawberry}
A fan buys 1 album and then spins a wheel for a free poster. Independent or dependent? Why?
Independent, because album purchase doesn’t affect poster spin.
A fan wants to take a photo with one actor from Lee Min Ho (LMH) or Park Seo Joon (PSJ) and one actress from IU or Kim Ji Won (KJW). List all possible outcomes.
{(LMH, IU), (LMH, KJW), (PSJ, IU), (PSJ, KJW)}
A store offers 5 dresses and 3 handbags. How many different combinations of dress + handbag?
15
A girl picks two scarves from {Red (R), Blue (B), Green (G)} without replacement.
{(R,B), (R,G), (B,R), (B,G), (G,R), (G,B)}
She chooses a cupcake: {Strawberry, Oreo, Red Velvet} and a drink: {Latte, Tea}. Write the sample space.
{(S,L), (S,T), (O,L), (O,T), (RV,L), (RV,T)}
A K-pop fan pulls a photocard from an album, keeps it, then pulls another. Independent or dependent? Why?
Dependent, because the first card changes the chance of the second.
A box contains 4 Ahn Hyo-seop and 3 Byeon Woo-seok photocards. Two photocards of the same actor are randomly selected one by one from the box without replacement. Identify whether the combined events is a dependent or an independent events and give your reason.
Dependent events because the probability of getting the first photocard affects the probability of getting the second photocard.
A girl has 2 skirts and 3 tops. How many different outfits can she create?
6
She selects one handbag from {Pink (P), Grey (G), White (W)} and one pair of shoes from {Heels (H), Sneakers (S), Boots (B)}
{(P,H), (P,S), (P,B), (G,H), (G,S), (G,B), (W,H), (W,S), (W,B)}
A café sells 2 cakes and 3 bubble tea flavours. State the sample space size.
6
A girl buys a BTS hoodie and a Blackpink lightstick. Independent or dependent? Why?
Independent, because buying one doesn’t affect the other.
A bag contains 2 black (B1, B2) and 3 white (W1, W2, W3) balls. Two balls are drawn without replacement. Write the sample space.
{(B1,B2), (B1,W1), (B1,W2), (B1,W3), (B2,W1), (B2,W2), (B2,W3), (W1,W2), (W1,W3), (W2,W3)}
A boutique sells 3 types of dresses, 2 types of shoes and 5 types of hats. How many different outfits can you make?
30
A girl chooses a bracelet (B), ring (R), necklace (N) or earrings (E), and then picks sunglasses (S) or no sunglasses (NS).
{(B,S), (B,NS), (R,S), (R,NS), (N,S), (N,NS), (E,S), (E,NS)}
A girl orders macaron (M1, M2, M3, M4) and cake (C1, C2, C3). Write the sample space
{(M1,C1), (M1,C2), (M1,C3), (M2,C1), (M2,C2), (M2,C3), (M3,C1), (M3,C2), (M3,C3), (M4,C1), (M4,C2), (M4,C3)}
A fan draws a raffle ticket for concert seats. She doesn’t put it back and draws again. Independent or dependent?
Dependent, because first draw changes the total tickets left.
Two marbles are selected simultaneously from a bag containing three red marbles (R1, R2, R3) and two blue marbles (B1, B2). Write down the sample space of the combined events.
{(R1,R2), (R1,R3), (R2,R3), (B1,B2), (R1,B1), (R1,B2), (R2,B1), (R2,B2), (R3,B1), (R3,B2)}
If she has 3 dresses, 2 shoes, and 2 accessories, how many total complete looks?
12
A girl picks three dresses from {Red (R), Blue (B), Green (G)} without replacement.
{(R,B,G), (R,G,B), (B,G,R), (B,R,G), (G,B,R), (G,R,B)}
A dessert shop sells ice cream (I1, I2, I3) and waffle (W1, W2, W3, W4, W5). If both are ordered, write the sample space.
{(I1,W1), (I1,W2), (I1,W3), (I1,W4), (I1,W5), (I2,W1), (I2,W2), (I2,W3), (I2,W4), (I2,W5), (I3,W1), (I3,W2), (I3,W3), (I3,W4), (I3,W5)}
A girl spins a K-pop gacha machine twice, but each time it’s refilled. Independent or dependent? Why?
Independent, because the outcome of the first spin doesn’t affect the second.
A fair dice is rolled and the gender of the newborn baby is determined. Write the sample spaces of the combined events.
{(1,boy) (2,boy), (3,boy), (4,boy), (5,boy), (6,boy), (1,girl), (2,girl), (3,girl), (4,girl), (5,girl), (6,girl)}