the hendricksons are in charge of bringing treats for 50 football players. they brought 3 coolers of…

the hendricksons are in charge of bringing treats for 50 football players. they brought 3 coolers of popsicles and 2 coolers of ice - cream sandwiches. each player is going to randomly select a cooler from which to get their treat. which statement best predicts how many football players will get a popsicle? choose 1 answer: a there will be exactly 20 football players who get a popsicle. b there will be close to 20 football players but probably not exactly 20 football players who get a popsicle. c there will be exactly 30 football players who get a popsicle. d there will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

the hendricksons are in charge of bringing treats for 50 football players. they brought 3 coolers of popsicles and 2 coolers of ice - cream sandwiches. each player is going to randomly select a cooler from which to get their treat. which statement best predicts how many football players will get a popsicle? choose 1 answer: a there will be exactly 20 football players who get a popsicle. b there will be close to 20 football players but probably not exactly 20 football players who get a popsicle. c there will be exactly 30 football players who get a popsicle. d there will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

Answer

Explanation:

Step1: Calculate total number of coolers

There are 3 coolers of popsicles and 2 coolers of ice - cream sandwiches per player, so for 50 players, the total number of coolers is $(3 + 2)\times50=250$ coolers. The total number of popsicle - coolers is $3\times50 = 150$ coolers.

Step2: Calculate the probability of choosing a popsicle cooler

The probability $P$ that a player chooses a popsicle cooler is $\frac{150}{250}=\frac{3}{5}$.

Step3: Calculate expected number of players getting a popsicle

The expected number of players getting a popsicle is $50\times\frac{3}{5}=30$. Since it is a probability - based situation, we expect close to 30 players but not exactly 30 players to get a popsicle.

Answer:

D. There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.