MATH SOLVE

2 months ago

Q:
# Randomly picking a green card from a standard deck of playing cards. 3. randomly picking a red card from a standard deck of playing cards 4. picking a number less than 15 from a jar with papers labeled from 1 to 12 5. picking a number that is divisible by 5 from a jar with papers labeled from 1 to 12 find each probability. write your answer in simplest form. (example 2) use the complement to find each probability. (example 3) 8. what is the probability of not rolling a 5 on a standard number cube? 9. a spinner has 3 equal sections that are red, white, and blue. what is the probability of not landing on blue? 12. describe an event that has a probability of 0% and an event that has a probability of 100%. essential question check-in ?? 10. a spinner has 5 equal sections marked 1 through 5. what is the probability of not landing on 4? 11. there are 4 queens in a standard deck of 52 cards. you pick one card at random. what is the probability of not picking a queen? 6. spinning a spinner that has 5 equal sections

Accepted Solution

A:

Formula: probability = number of positive outputs / total number of possible events

Randomly picking a green card from a standard deck of playing cards.

A standard deck of playing cards does not have green cards, so the probability is 0.

3. randomly picking a red card from a standard deck of playing cards

Half of the cards from a standard deck of playing cards are red, so the probability is 0.5.

4. picking a number less than 15 from a jar with papers labeled from 1 to 12

All the papers have a number less than 15, so the probability of picking a number less than 15 is 1.

5. picking a number that is divisible by 5 from a jar with papers labeled from 1 to 12

The numbers divisible by 5 from 1 to 12 are 5 and 10, so there are two positive outputs from a total of 12 possible events and the probabily of picking a number that is divisible by 5 is 2 / 12 = 1/6.

Answr: 1/6.

use the complement to find each probability. (example 3)

8. what is the probability of not rolling a 5 on a standard number cube?

The probability of rolling a 5 is 1 out of 6 = 1/6

The complement is 1 - 1/6 = 5/6.

Therefore, the probability of not rolling a 5 is 5/6.

9. a spinner has 3 equal sections that are red, white, and blue. what is the probability of not landing on blue? 1

The probability of landing on blue is 1 / 3. The complement is 1 - 1/3 = 2/3.

Therefore, the probability of not landing on blue is 2/3.

2. describe an event that has a probability of 0% and an event that has a probability of 100%. essential question check-in ??

Rolling a 7 with a standard cube has probability 0%.

Rolling a number different from 7 from a standard cube has a probability of 100%.

10. a spinner has 5 equal sections marked 1 through 5. what is the probability of not landing on 4?

Each section has a probability of 1/5.

So not landing on 4 has a probability of 1 - 1/5 = 4/5.

11. there are 4 queens in a standard deck of 52 cards. you pick one card at random. what is the probability of not picking a queen?

Picking a queen has probability of 4/52 = 1/13.

The complement is 1 - 1/13 = 12/13.

Therefore, the probability of not picking a queen is 12/13.

Randomly picking a green card from a standard deck of playing cards.

A standard deck of playing cards does not have green cards, so the probability is 0.

3. randomly picking a red card from a standard deck of playing cards

Half of the cards from a standard deck of playing cards are red, so the probability is 0.5.

4. picking a number less than 15 from a jar with papers labeled from 1 to 12

All the papers have a number less than 15, so the probability of picking a number less than 15 is 1.

5. picking a number that is divisible by 5 from a jar with papers labeled from 1 to 12

The numbers divisible by 5 from 1 to 12 are 5 and 10, so there are two positive outputs from a total of 12 possible events and the probabily of picking a number that is divisible by 5 is 2 / 12 = 1/6.

Answr: 1/6.

use the complement to find each probability. (example 3)

8. what is the probability of not rolling a 5 on a standard number cube?

The probability of rolling a 5 is 1 out of 6 = 1/6

The complement is 1 - 1/6 = 5/6.

Therefore, the probability of not rolling a 5 is 5/6.

9. a spinner has 3 equal sections that are red, white, and blue. what is the probability of not landing on blue? 1

The probability of landing on blue is 1 / 3. The complement is 1 - 1/3 = 2/3.

Therefore, the probability of not landing on blue is 2/3.

2. describe an event that has a probability of 0% and an event that has a probability of 100%. essential question check-in ??

Rolling a 7 with a standard cube has probability 0%.

Rolling a number different from 7 from a standard cube has a probability of 100%.

10. a spinner has 5 equal sections marked 1 through 5. what is the probability of not landing on 4?

Each section has a probability of 1/5.

So not landing on 4 has a probability of 1 - 1/5 = 4/5.

11. there are 4 queens in a standard deck of 52 cards. you pick one card at random. what is the probability of not picking a queen?

Picking a queen has probability of 4/52 = 1/13.

The complement is 1 - 1/13 = 12/13.

Therefore, the probability of not picking a queen is 12/13.