40% of oatypop cereal boxes contain a prize. hannah plans to keep buying cereal until she gets a prize. what is the probability that hannah only has to buy 3 or less boxes before getting a prize? use the simulation data to find the problability

the probability is 78.4%

Step-by-step explanation:

there are 3 scenarios

1) gets the price in the 1st box:

the probability is:

P = probability to obtain a price = 4/10= 40%

2) gets the price in the 2nd box

P= probability to fail in the fist box * probability to obtain a price

P= (6/10)*(4/10)=24/100 = 24%

3) gets the price in the 3rd box

P =probability to fail in the first box * probability to fail in the second box*probability to obtain a price =(6/10)*(6/10)*(4/10)=144/1000 = 14,4%

therefore the probability to obtain a price in 3 or less boxes is:

P = 40%+24%+14.4%= 78.4%