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Ron has a 41% chance of receiving an A grade in chemistry, a 35% chance of receiving an A grade in mathematics, and a 29% chance of receiving A grades inboth chemistry and mathematics. Find the probability that he receives an A in chemistry or mathematics (or both).Write your answer as a decimal (not as a percentage),

Answer :

ANSWER:

0.47

STEP-BY-STEP EXPLANATION:

Given:

P(Chem) = 41% = 0.41

P(Math)= 35% = 0.35

P(Math And Chem) = 29% = 0.29

P(Math or Chem) = ?

We can find by the following formula:

[tex]\begin{gathered} P(M\text{ath or Chem) = P(Chem) + P(Math and Chem)} \\ \text{ Replacing:} \\ P(M\text{ath or Chem) = }0.41+0.35-0.29 \\ P(M\text{ath or Chem) = }0.47 \end{gathered}[/tex]

Therefore, the probability that he receives an A in chemistry or mathematics (or both) is 0.47

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