erik is a sandwich maker at a local deli. last week, he tracked the number of peanut butter and jelly…

erik is a sandwich maker at a local deli. last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested.\nthe probability that a sandwich was made with strawberry jelly is 0.66, the probability that it was made with creamy peanut butter is 0.35, and the probability that it was made with strawberry jelly and creamy peanut butter is 0.05.\nwhat is the probability that a randomly chosen sandwich was made with strawberry jelly or creamy peanut butter?\nwrite your answer as a whole number, decimal, or simplified fraction.

erik is a sandwich maker at a local deli. last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested.\nthe probability that a sandwich was made with strawberry jelly is 0.66, the probability that it was made with creamy peanut butter is 0.35, and the probability that it was made with strawberry jelly and creamy peanut butter is 0.05.\nwhat is the probability that a randomly chosen sandwich was made with strawberry jelly or creamy peanut butter?\nwrite your answer as a whole number, decimal, or simplified fraction.

Answer

Explanation:

Step1: Recall the formula for probability of union

Use the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Let $A$ be the event of strawberry - jelly and $B$ be the event of creamy peanut - butter.

Step2: Substitute the given values

We know that $P(A) = 0.66$, $P(B)=0.35$, and $P(A\cap B)=0.05$. Then $P(A\cup B)=0.66 + 0.35-0.05$.

Step3: Calculate the result

$0.66+0.35 - 0.05=0.96$.

Answer:

$0.96$