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3 years ago

9

A store is having a sale on jellybeans and almonds. for 5 pounds of jellybeans and 3 pounds of almonds, the total cost is $22. F

or 2 pounds of jellybeans and 12 pounds of almonds the total cost is $25. find the cost for each pound of jellybeans and each pound of almonds

1 answer:

Annette [7]3 years ago

7 0

The cost per pound of jellybeans would be $3.50 and the cost per pound of almonds would be $1.5.

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$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

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And rounded we got $P(A \cup B ) = 0.551$

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B = It rains over the Sunday

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$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

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And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

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