Respuesta :
To win the jackpot, the numbers on your ticket must match the three white balls and the red SuperBall.If you buy a ticket, what is your probability of winning the jackpot.If you buy a ticket, the probability of your winning the jackpot is 0.01389%
Step-by-step explanation:
We know that sin order to win the Jackpot , the numbers on your ticket must match the three white balls and the red SuperBall
(By selecting three numbers from 1-10 we get )
The chances of you getting the 3 white Balls is = 1/10 x 1/9 x 1/8 = 1/720
The chance of getting the red superball is = 1/10
The chance of winning the jackpot = 1/720 x 1/10 = 1/7,200 = 0.01389%
Answer:
1/1200
Step-by-step explanation:
So first for the white balls the probability of picking a winning number the first time is 1/10 since there are 10 white balls. The second time we pick a white ball we have a probability of 1/9 for a winning ball. Then for the third white ball we have a 1/8 chance since there are 8 balls in total after picking to two balls before. Now we pick one red superball which would give us the probability of 1/10 again considering that there after 10 red superballs. Now what we have to do is multiply our probabilities so.
1/10 *1/9*1/8*1/10=1/7200
Now if we see that we don't have to match the white balls in order to if it said that the balls had to be in order our probability would hve been 1/7200 but it says that we don't have to. (as a reminder in these types of problems overcounting is the best way to get the solution.) Now considering that the three balls don't have to be in order we should divide our current probability 1/7200 by 1/3! because we have 3 white balls. And 3! equals to 6 so then our equation would be
1/7200 divided by 1/6= 6/7200 and then we simplify to equal us
1/1200 which is the probability of winning Jackpot
