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].