Introduction to Odds

Q. For spinning the given spinner, what are the odds in favor of spinning a blue?

1. $1:1$
2. $1:2$
3. $1:3$
4. $2:3$

Q. There is a $\frac{3}{5}$ chance of rain today. What are the odds against it raining today?

1. $3:5$
2. $3:2$
3. $2:3$
4. $2:5$

Q. If a new fair coin is tossed, what are the odds in favor of getting a tail and the odds against it?

1. $1:3$ and $3:1$
2. $2:1$ and $1:2$
3. $1:2$ and $2:1$
4. $1:1$ and $1:1$

Q. If the odds against picking a red marble is $4:5,$ what is the probability of picking a red marble?

1. $\frac{4}{5}$
2. $\frac{4}{9}$
3. $\frac{5}{9}$
4. None of the above

Q.
What are the odds in favor of spinning red?

1. $1:5$
2. $1:4$
3. $4:1$
4. $5:1$

Q. A bag contains $25$ pieces of candies. There are $10$ grapes, $7$ cherries, $3$ lemons, $5$ strawberries. What are the odds against drawing a lemon?

1. $\frac{22}{3}$
2. $\frac{25}{3}$
3. $\frac{3}{22}$
4. $\frac{3}{25}$

Q. The odds of event $A$ are $13:3$ in favor. What is $80P\left(A\right)?$

1. 65

Q. An ancient coin is tossed a $100$ times out of which $40$ tosses resulted in heads. What are the odds in favor of getting a tail?

1. $3:2$
2. $2:3$
3. $3:5$
4. $5:3$

Q. The probability of winning free passes to a concert is $\frac{1}{20}.$ What are the odds in favor and the odds against it?

1. $1:19$ and $19:1$
2. $19:1$ and $1:19$
3. $1:20$ and $20:1$
4. $20:1$ and $1:20$

Q. If odds against an event is less than $1,$ then the event is less likely to happen.

1. Yes
2. No

Q. Odds in favor of different events are given. Select the events which are more likely to happen.

1. $1:2$
2. $3:2$
3. $5:4$
4. $7:1$
5. $1:6$
6. $6:2$
7. $7:2$
8. $2:7$