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You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.

What is the probability of:

selecting a penny?

selecting a nickel?

not selecting a dime?

selecting a dime or a quarter?

Sagot :

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

Learn more on Probability here: https://brainly.com/question/251701

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