The probability of selecting a penny is 4/15
The probability of selecting a nickel is 1/3
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarter is 2/5
Probability
From the formula for probability,
[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]
Total number of possible outcomes = 30
- The probability of selecting a penny
[tex]P(penny) = \frac{8}{30}[/tex]
[tex]P(penny) = \frac{4}{15}[/tex]
The probability of selecting a penny is 4/15
- The probability of selecting a nickel
[tex]P(nickel) = \frac{10}{30}[/tex]
[tex]P(nickel) = \frac{1}{3}[/tex]
The probability of selecting a nickel is 1/3
- The probability of selecting a dime
[tex]P(dime) = \frac{7}{30}[/tex]
The probability of selecting a dime is 7/30
- The probability of selecting a dime or a quarter
First, we will calculate the probability of selecting a quarter
[tex]P(quarter) = \frac{5}{30}[/tex]
[tex]P(quarter) = \frac{1}{6}[/tex]
Then, the probability of selecting a dime or a quarter is
[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]
[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]
[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]
[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]
The probability of selecting a dime or a quarter is 2/5
Hence,
The probability of selecting a penny is 4/15
The probability of selecting a nickel is 1/3
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarter is 2/5
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