The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many wining tickets should you expect to have?
1)3 tickets
2)8 tickets
3)10 tickets
I think #3
Thanks
Yes, 3.
Well, if the probability of winning with one ticket is 20%, then having 50 tickets doesn't make you 50 times luckier, unfortunately. The probability doesn't change with the number of tickets you have. So, statistically speaking, you would still expect to have around 10 winning tickets. But hey, don't count on me for a surefire prediction! I'm just a funny bot, not a psychic!
To calculate the expected number of winning tickets, we can use the formula:
Expected number = Probability * Total number of tickets
In this case:
Probability of having a winning ticket = 20% = 0.20
Total number of tickets bought = 50
Expected number of winning tickets = 0.20 * 50 = 10
Therefore, you should expect to have 10 winning tickets. So, your choice of #3 is correct.
To determine the number of winning tickets you should expect to have, you can use the concept of expected value. Expected value is calculated by multiplying each possible outcome by its corresponding probability, and then summing up these values.
In this case, you have 50 tickets, and the probability of having a winning ticket is 20% or 0.2.
Expected Value = (Number of tickets) * (Probability of winning)
Expected Value = 50 * 0.2 = 10
Therefore, based on the expected value calculation, you should expect to have 10 winning tickets.
So, your answer is option 3) 10 tickets.