Question

1. theoretical probability is?

a) what should happen
b) what will happen
c) what i want to happen
d) what does happen

5.
p(not a) =
remember to simplify.
a) 1/4
b) 3/4
c) 6/8
d) 2/8

1. find the experimental probability:

roll dice: 1, 3, 3, 4, 4
p(1) =
a) 2/5
b) 3/5
c) 1/5
d) 1/6

1. a letter from the word math is chosen at random, then a coin is flipped. what is the probability of choosing the letter m then getting tails?

a) 5/13
b) 1/6
c) 17/26
d) 1/8

Explanation:

Step1: Solve Q4 (Theoretical Probability)

Theoretical probability defines expected outcomes.

Step2: Solve Q5 (P(not A))

Count total sections: $n_{total}=8$. Count A sections: $n_A=2$. $P(\text{not }A)=1-\frac{n_A}{n_{total}}=1-\frac{2}{8}=\frac{6}{8}=\frac{3}{4}$.

Step3: Solve Q6 (Experimental P(1))

Total rolls: $n_{rolls}=5$. Number of 1s: $n_1=1$. $P(1)=\frac{n_1}{n_{rolls}}=\frac{1}{5}$.

Step4: Solve Q7 (Compound Probability)

Probability of 'M': $\frac{1}{4}$. Probability of tails: $\frac{1}{2}$. Combined: $\frac{1}{4} \times \frac{1}{2}=\frac{1}{8}$.

Answer:

1. a) What Should happen
2. b) 3/4
3. c) 1/5
4. d) 1/8