in the drawing, six out of every 10 tickets are winning tickets. of the winning tickets, one out of every…

in the drawing, six out of every 10 tickets are winning tickets. of the winning tickets, one out of every three awards is a larger prize. what is the probability that a ticket that is randomly chosen will award a larger prize?\no $\frac{2}{15}$\no $\frac{1}{5}$\no $\frac{5}{9}$\no $\frac{5}{6}$

in the drawing, six out of every 10 tickets are winning tickets. of the winning tickets, one out of every three awards is a larger prize. what is the probability that a ticket that is randomly chosen will award a larger prize?\no $\frac{2}{15}$\no $\frac{1}{5}$\no $\frac{5}{9}$\no $\frac{5}{6}$

Answer

Explanation:

Step1: Calculate the proportion of winning tickets

The proportion of winning tickets is $\frac{6}{10}=\frac{3}{5}$.

Step2: Calculate the proportion of larger - prize - winning tickets among all tickets

Since one - out of every three winning tickets is a larger - prize ticket, we multiply the proportion of winning tickets by the proportion of larger - prize tickets among winning tickets. So the probability is $\frac{3}{5}\times\frac{1}{3}$. $\frac{3}{5}\times\frac{1}{3}=\frac{3\times1}{5\times3}=\frac{1}{5}$

Answer:

B. $\frac{1}{5}$