Given that 6 out of 10 is a winning ticket then 1 out of 3 awards is a larger prize. So there are 2 larger prize in every 6 winning tickets drawn. So the probality of that a ticket will award a larger prize is 2/10 or 1/5
Answer:
The probability that a ticket that is randomly chosen will award a larger prize is:
1/5=0.2
Step-by-step explanation:
Let A denote the event that the ticket is a winning ticket.
B denote the event that there is a larger prize.
A∩B denote the event that there is a larger prize on the winning ticket.
Let P denote the probability of an event.
Now according to the given information we have:
[tex]P(A)=\dfrac{6}{10}[/tex]
Also, [tex]P(B|A)=\dfrac{1}{3}[/tex]
Hence, we are asked to find: P(A∩B)
We know that:
[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}\\\\\\\dfrac{1}{3}=\dfrac{P(A\bigcap B)}{\dfrac{6}{10}}\\\\\\P(A\bigcap B)=\dfrac{1}{3}\times \dfrac{6}{10}\\\\P(A\bigcap B)=\dfrac{2}{10}=\dfrac{1}{5}=0.2[/tex]
The probability is:
1/5=0.2
