freyjagregson9374 freyjagregson9374

21-06-2017
Mathematics

contestada

A jar contains 8 nickels, 10 dimes, 12 quarters, and 22 pennies. a coin is chosen at random from the jar. what is the probability that the coin chosen is a penny? question 11 options:

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Anurag04 Anurag04

21-06-2017

22/(22+10+8+12)=22/52=11/26

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ColinJacobus ColinJacobus

19-06-2019

Answer: The required probability is 42.30%.

Step-by-step explanation: We are given that a jar contains 8 nickels, 10 dimes, 12 quarters, and 22 pennies. a coin is chosen at random from the jar.

We are to find the probability that the coin chosen is a penny.

Let S denotes the sample space for experiment of selecting a coin of the jar and A denotes the event that the randomly selected coin is a penny.

Then,

n(S) = 8 + 10 + 12 + 22 = 52 and n(A) = 22.

Therefore, the probability of event A is given by

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{22}{52}=\dfrac{11}{26}\times 100\%=42.30\%.[/tex]

Thus, the required probability is 42.30%.

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