Mathematics: Make a tree diagram and find each probability. a softball game has an 80% chance of being canceled for a light drizzle and a 30% chance of being canceled for a heavy fog when there is no drizzle. there is a 70% chance of heavy fog and a 30% chance of a light drizzle. a. find the probability that the game will be canceled. b. find the probability there will be a light drizzle and the game will not be canceled. be sure to show all work.

Make a tree diagram and find each probability.

AshlynPlayz45

06.01.2022

a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

Step-by-step explanation:

Since we have given that

Probability of heavy fog is given by

P(F)=0.70

Probability of a light drizzle is given by

P(D)=0.30

Probability of getting canceled a softball game due to light drizzle is given by

$P(C\mid D)=0.80$

Probability of getting canceled a softball game due to heavy fog is given by

$P(C\mid F)=0.30$

a. Find the probability that the game will be canceled.

Probability of getting the game be cancelled is given by

$P(C)=P(F)\times P(C\mid F)+P(D)\times P(C\mid D)\\\\P(C)=0.70\times 0.30+0.30\times 0.80\\\\P(C)=0.45\\\\P(C)=45\%$

b. Find the probability there will be a light drizzle and the game will not be canceled.

Probability that there will be a light drizzle and the game will not be canceled is given by

$P(C'\mid D)=1-P(C\mid D)\\\\P(C'\mid D)=1-0.80\\\\P(C'\mid D)=0.20\\\\P(C'\mid D)=20\%$

Hence, a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

0,0(0 оценок)

bvolleyball9

10.01.2023

-2(3y + 5) = -4

Distribute

-6y - 10 = -4

Add

-6y = 6

Divide

y = -1

Multiply

5y = -5

You got it right.

0,0(0 оценок)