Respuesta :

Answer:

The probability you select a penny on your 1st draw is: [tex]\dfrac{15}{33}[/tex]

Step-by-step explanation:

We are given that a container holds 15 pennies 8 nickels and 10 dimes.

Total=15+8+10=33

We are asked to find the probability you select a penny on your 1st draw.

" The probability of an event is defined as the ratio of the total number of favourable outcomes to the total number of possible outcomes "

According to the given information we have:

The number of ways of selecting a penny is: [tex]\binom{15}{1}=15[/tex]

The total number of ways  of choosing one amount is: [tex]\binom{33}{1}=33[/tex]

Hence the probability is:[tex]\dfrac{15}{33}[/tex]

Hence,  the probability you select a penny on your 1st draw is [tex]\dfrac{15}{33}[/tex].