Paula has 5 dimes, 2 pennies, and 3 nickels in her pocket. Without looking, she selects 2 coins in a row. What is the probability that the first coin is a dime and the second coin is a penny?​

Paula has 5 dimes 2 pennies and 3 nickels in her pocket Without looking she selects 2 coins in a row What is the probability that the first coin is a dime and t class=

Respuesta :

Answer:

Step-by-step explanation:

She has  5 dimes, 2 pennies, and 3 nickels in her pocket.

So 5+2+3 = 10 coins total.

For the first coin is a dime, the probability = number of dimes/total number of coins

= 5/10

= 1/2

After that, 9 coins are left with 4 dimes, 2 pennies and 3 nickels.

For the second coin is a penny, the probability = number of penny / total number of coins

= 2/9

Combining the above, probability that the first coin is a dime and the second coin is a penny

= 1/2 * 2/9

= 1/9

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