Question

1. isidro flips a fair coin 40 times. how many times can he expect heads to appear?

a) 4
b) 10
c) 15
d) 20

1. scarlett selects a card at random from a deck that contains 18 red, 12 yellow, and 20 blue cards. what is the probability that she does not select a red card?

a) $\frac{13}{25}$
b) $\frac{16}{25}$
c) $\frac{18}{25}$
d) $\frac{24}{25}$

1. find the theoretical probability of not landing on yellow if you spin the spinner.

a) $\frac{1}{8}$
b) $\frac{7}{8}$
c) 1
d) 7

Explanation:

Question 6

Step1: Define head probability

Probability of heads: $P(H) = \frac{1}{2}$

Step2: Calculate expected heads

Expected value: $40 \times \frac{1}{2} = 20$

Question 7

Step1: Calculate total cards

Total cards: $18 + 12 + 20 = 50$

Step2: Non-red card count

Non-red cards: $12 + 20 = 32$

Step3: Find non-red probability

Probability: $\frac{32}{50} = \frac{16}{25}$

Question 8

Step1: Count total sections

Total sections: $8$

Step2: Count non-yellow sections

Non-yellow sections: $7$

Step3: Find non-yellow probability

Probability: $\frac{7}{8}$

Answer:

1. d) 20
2. b) 16/25
3. b) 7/8