Explore IDNLearn.com's extensive Q&A database and find the answers you're looking for. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.
Sagot :
To find the probability that a randomly picked token from the bag is either pink or yellow, we can follow these steps:
1. Count the total number of tokens in the bag:
- There are 15 black tokens.
- There are 17 green tokens.
- There are 22 pink tokens.
- There are 29 yellow tokens.
To find the total number of tokens, we sum these quantities:
[tex]\[ 15 + 17 + 22 + 29 = 83 \][/tex]
So, the total number of tokens in the bag is 83.
2. Count the number of desired tokens (pink or yellow):
- There are 22 pink tokens.
- There are 29 yellow tokens.
To find the total number of pink or yellow tokens, we sum these quantities:
[tex]\[ 22 + 29 = 51 \][/tex]
So, there are 51 tokens that are either pink or yellow.
3. Calculate the probability:
The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.
Here, the probability [tex]\(P(\text{pink or yellow})\)[/tex] is the number of pink or yellow tokens divided by the total number of tokens:
[tex]\[ P(\text{pink or yellow}) = \frac{\text{Number of pink or yellow tokens}}{\text{Total number of tokens}} = \frac{51}{83} \][/tex]
4. Convert the fraction to a decimal:
[tex]\[ P(\text{pink or yellow}) \approx 0.6144578313253012 \][/tex]
Thus, the probability that a randomly picked token from the bag is either pink or yellow is approximately [tex]\(0.6145\)[/tex].
1. Count the total number of tokens in the bag:
- There are 15 black tokens.
- There are 17 green tokens.
- There are 22 pink tokens.
- There are 29 yellow tokens.
To find the total number of tokens, we sum these quantities:
[tex]\[ 15 + 17 + 22 + 29 = 83 \][/tex]
So, the total number of tokens in the bag is 83.
2. Count the number of desired tokens (pink or yellow):
- There are 22 pink tokens.
- There are 29 yellow tokens.
To find the total number of pink or yellow tokens, we sum these quantities:
[tex]\[ 22 + 29 = 51 \][/tex]
So, there are 51 tokens that are either pink or yellow.
3. Calculate the probability:
The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.
Here, the probability [tex]\(P(\text{pink or yellow})\)[/tex] is the number of pink or yellow tokens divided by the total number of tokens:
[tex]\[ P(\text{pink or yellow}) = \frac{\text{Number of pink or yellow tokens}}{\text{Total number of tokens}} = \frac{51}{83} \][/tex]
4. Convert the fraction to a decimal:
[tex]\[ P(\text{pink or yellow}) \approx 0.6144578313253012 \][/tex]
Thus, the probability that a randomly picked token from the bag is either pink or yellow is approximately [tex]\(0.6145\)[/tex].
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.