Silvia has a collection of stamps from around the world as listed below.
4 stamps from Mexico
3 stamps from Peru
6 stamps from Germany
2 stamps from Tonga
5 stamps from New Zealand
She places them all in a box and randomly draws one.
What is the probability that Silvia draws a stamp from New Zealand?
What is the probability that Silvia draws a stamp from either Germany or Tonga?
What is the probability that Silvia draws a stamp from either Peru or Mexico?
What is the probability that Silvia does not draw a stamp from Tonga?
Probability of drawing a stamp from New Zealand: 5/20 or 1/4.
Probability of drawing a stamp from either Germany or Tonga: (6+2)/20 or 4/20, which simplifies to 1/5.
Probability of drawing a stamp from either Peru or Mexico: (3+4)/20 or 7/20.
Probability of not drawing a stamp from Tonga: 1 - (2/20) or 18/20, which simplifies to 9/10.
can you double check?
I apologize for any error in my response. Here are the correct answers:
Probability of drawing a stamp from New Zealand: 5/20 or 1/4.
Probability of drawing a stamp from either Germany or Tonga: (6+2)/20 or 8/20, which simplifies to 2/5.
Probability of drawing a stamp from either Peru or Mexico: (3+4)/20 or 7/20.
Probability of not drawing a stamp from Tonga: 1 - (2/20) or 18/20, which simplifies to 9/10.
To find the probability of certain events, you need to compare the number of desired outcomes to the total number of possible outcomes.
1. Total number of stamps in the box: 4 + 3 + 6 + 2 + 5 = 20.
Number of stamps from New Zealand: 5.
Probability of drawing a stamp from New Zealand = (Number of stamps from New Zealand) / (Total number of stamps)
Probability = 5/20 = 1/4 = 0.25 or 25%.
2. Number of stamps from Germany: 6.
Number of stamps from Tonga: 2.
Probability of drawing a stamp from either Germany or Tonga = (Number of stamps from Germany + Number of stamps from Tonga) / (Total number of stamps)
Probability = (6 + 2) / 20 = 8/20 = 0.4 or 40%.
3. Number of stamps from Peru: 3.
Number of stamps from Mexico: 4.
Probability of drawing a stamp from either Peru or Mexico = (Number of stamps from Peru + Number of stamps from Mexico) / (Total number of stamps)
Probability = (3 + 4) / 20 = 7/20 = 0.35 or 35%.
4. Number of stamps that are not from Tonga: 20 - 2 = 18.
Probability of not drawing a stamp from Tonga = (Number of stamps that are not from Tonga) / (Total number of stamps)
Probability = 18/20 = 0.9 or 90%.