Question

WILL MARK AS BRAINLIEST

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.

What is the theoretical probability that Chandra will be chosen as one of the science fair participants?

Group of answer choices

80%

25%

75%

60%

Answer 1

Answer:

80%

Step-by-step explanation:

Answer 2

Given:

5 students : Adriana, Ben, Chandra, Diana, and Ernesto

4 spots will be chosen

To Find:

The theoretical probability that Chandra will be chosen

Explanation:

Instead directly applying the formula to find the result. I have presented here a longer solution so that you can better understand the logic behind the result.

Solution:

Find the probability that Chandra is picked for the first spot:

P(Chandra is picked for the 1st spot) = (1/5) x (4/4) x (3/3) x (2/2)

P(Chandra is picked for the 1st spot) = 1/5

Find the probability that Chandra is picked for the second spot:

P(Chandra is picked for the 2nd spot) = (4/5) x (1/4) x (3/3) x (2/2)

P(Chandra is picked for the 2nd spot) = 1/5

Find the probability that Chandra is picked for the third spot:

P(Chandra is picked for the 3rd spot) = (4/5) x (3/4) x (1/3) x (2/2)

P(Chandra is picked for the 3rd spot) = 1/5

Find the probability that Chandra is picked for the fourth spot:

P(Chandra is picked for the 4th spot) = (4/5) x (3/4) x (2/3) x (1/2)

P(Chandra is picked for the 4th spot) = 1/5

Find the probability that Chandra is picked for any of the 4 spots:

P(Chandra is picked for 1 of the 4 spots) = 1/5 + 1/5 + 1/5 + 1/5

P(Chandra is picked for 1 of the 4 spots) = 4/5

P(Chandra is picked for 1 of the 4 spots) = 80%

Answer: 80%