GKT101: General Knowledge for Teachers – Math

1. Marvin Martian, Aly Alien, and Hank Human are all looking for a hidden spaceship. Their probabilities of finding the spaceship first are as follows:

$\begin{aligned}&\mathrm{P} \text { (Marvin wins })=30 \% \\&\mathrm{P} \text { (Aly wins })=0.2 \\&\mathrm{P} \text { (Hank wins })=\frac{1}{2}\end{aligned}$

Put the following events in order from least to most likely.

2. Ahmed and Gavin are playing both chess and checkers. The probability of Ahmed winning the chess game is $45 \%$. The probability of Ahmed winning the checkers game is $0.36$.

Which of these events is more likely?

Choose 1 answer:

(A) Ahmed wins the chess game.

(B) Ahmed wins the checkers game.

(C) Neither. Both events are equally likely.

3. Carl is wondering if the train he is riding home from school will leave early, on time, or late. The probabilities are as follows:

$\mathrm{P}($ Train leaves early $)=25 \%$

$\mathrm{P}($ Train leaves on time $)=0.35$

$\mathrm{P}($ Train leaves late $)=\frac{2}{5}$

Put the following events in order from least to most likely.

4. Simone is stranded on an island. The probability of her finding safety by waiting for help is $\frac{1}{4}$. The probability of her finding safety by leaving in her raft is $0.32$.

Which of these events is more likely?

Choose 1 answer:

(A) Simone finds safety by waiting for help.

(B) Simone finds safety by leaving in her raft.

(C) Neither. Both events are equally likely.

5. Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follows:

$\mathrm{P}($ Erin wins $)=0.3$

$\mathrm{P}($ Anna wins $)=\frac{1}{2}$

$\mathrm{P}($ Elizabeth wins $)=20 \%$

Put the following events in order from least to most likely.

6. The probability of Jamie making money investing in bonds is $\frac{1}{20}$. The probability of Jamie making money investing in stocks is $82 \%$.

Which of these events is more likely?

Choose 1 answer:

(A) Jamie makes money investing in bonds.

(B) Jamie makes money investing in stocks.

(C) Neither. Both events are equally likely.

7. Victor has been wrongfully accused of helping a gorilla escape from the zoo. The probabilities of the court rulings are as follows:

$\begin{aligned}&\mathrm{P}(\text { Guilty })=0.25 \\&\mathrm{P}(\text { Innocent })=55 \% \\&\mathrm{P}(\text { Retrial })=\frac{1}{5}\end{aligned}$

Put the following events in order from least to most likely.