Question

probability | quizizz

1. which shows the sample space for flipping two coins?

a) h, t
b) dime, nickel
c) hh, ht, th, tt
d) hh, tt

1. bag a contains 9 red marbles and 3 green marbles. bag b contains 9 black marbles and 6 orange marbles. find the probability of selecting one green marble from bag a and one black marble from bag b. p(green, black)

a) $\frac{3}{20}$
b) $\frac{3}{31}$
c) $\frac{2}{27}$
d) $\frac{1}{4}$

1. you roll a pair of number cubes (dice). which equation represents how to find the probability of rolling a 2 and an odd number?

p(2, then odd)
a) $\frac{1}{6} \times \frac{1}{2} = \frac{1}{12}$
b) $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$
c) $\frac{1}{6} + \frac{1}{2} = \frac{2}{8}$
d) $\frac{1}{3} + \frac{1}{2} = \frac{5}{6}$

1. if you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-creams sundaes can you make?

a) 192
b) 20
c) 96
d) 58

1. the cafeteria is serving three kinds of sandwiches: tuna (t), chicken, (c), and peanut butter (p). they are also serving a choice of two drinks: milk (m) or water (w). which shows the complete set of possible combinations?

a) tw, tm, tc, cw, pw
b) tcp, mw
c) tw, cw, pw
d) tw, tm, cw, cm, pw, pm

Explanation:

Step1: Identify sample space for 2 coins

Each coin has 2 outcomes: H (heads), T (tails). For two coins, all paired outcomes are HH, HT, TH, TT.

Step2: Calculate P(green from A, black from B)

First, total marbles in A: $9+3=12$. P(green) = $\frac{3}{12}=\frac{1}{4}$. Total marbles in B: $9+6=15$. P(black) = $\frac{9}{15}=\frac{3}{5}$. Multiply probabilities: $\frac{1}{4} \times \frac{3}{5} = \frac{3}{20}$.

Step3: Find equation for P(2 then odd)

P(rolling 2 on 1 die) = $\frac{1}{6}$. P(rolling odd on 1 die) = $\frac{3}{6}=\frac{1}{2}$. Multiply for combined probability: $\frac{1}{6} \times \frac{1}{2} = \frac{1}{12}$.

Step4: Calculate total sundae combinations

Multiply number of flavors by toppings: $12 \times 8 = 96$.

Step5: List all sandwich-drink combinations

Each sandwich (T, C, P) pairs with each drink (M, W): TW, TM, CW, CM, PW, PM.

Answer:

1. c) HH, HT, TH, TT
2. a) 3/20
3. a) ⅙ × ½ = 1/12
4. c) 96
5. d) TW, TM, CW, CM, PW, PM