QuestionWhat is the probability of seeing both a butterfly (80%) and a turtle (40%) during a nature center tour?

Studdy Solution

STEP 1

Assumptions1. The probability of seeing a butterfly is80% . The probability of seeing a turtle is40%
3. The events of seeing a butterfly and seeing a turtle are independent

STEP 2

The probability of two independent events both happening is the product of their individual probabilities. We can express this as $(A \, and \, B) =(A) \times(B)$

STEP 3

Now, plug in the given values for the probabilities of seeing a butterfly (A) and seeing a turtle (B) to calculate the probability of seeing both.
$(A \, and \, B) =80\% \times40\%$

STEP 4

Convert the percentages to decimal values.
$80\% =0.8$ $40\% =0.4$ $(A \, and \, B) =0.8 \times0.4$

STEP 5

Calculate the probability of seeing both a butterfly and a turtle.
$(A \, and \, B) =0.8 \times0.4 =0.32$ The probability of seeing both a butterfly and a turtle is32%.

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QuestionWhat is the probability of seeing both a butterfly (80%) and a turtle (40%) during a nature center tour?

Studdy Solution

STEP 1

Assumptions1. The probability of seeing a butterfly is80% . The probability of seeing a turtle is40%
3. The events of seeing a butterfly and seeing a turtle are independent

STEP 2

The probability of two independent events both happening is the product of their individual probabilities. We can express this as $(A \, and \, B) =(A) \times(B)$

STEP 3

Now, plug in the given values for the probabilities of seeing a butterfly (A) and seeing a turtle (B) to calculate the probability of seeing both.
$(A \, and \, B) =80\% \times40\%$

STEP 4

Convert the percentages to decimal values.
$80\% =0.8$ $40\% =0.4$ $(A \, and \, B) =0.8 \times0.4$

STEP 5

Calculate the probability of seeing both a butterfly and a turtle.
$(A \, and \, B) =0.8 \times0.4 =0.32$ The probability of seeing both a butterfly and a turtle is32%.

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QuestionWhat is the probability of seeing both a butterfly (80%) and a turtle (40%) during a nature center tour?

Studdy Solution

STEP 1

Assumptions1. The probability of seeing a butterfly is80% . The probability of seeing a turtle is40%3. The events of seeing a butterfly and seeing a turtle are independent

STEP 2

The probability of two independent events both happening is the product of their individual probabilities. We can express this as(A and B)=(A)×(B)(A \, and \, B) =(A) \times(B)(AandB)=(A)×(B)

STEP 3

Now, plug in the given values for the probabilities of seeing a butterfly (A) and seeing a turtle (B) to calculate the probability of seeing both.(A and B)=80%×40%(A \, and \, B) =80\% \times40\%(AandB)=80%×40%

STEP 4

Convert the percentages to decimal values.80%=0.880\% =0.880%=0.840%=0.440\% =0.440%=0.4(A and B)=0.8×0.4(A \, and \, B) =0.8 \times0.4(AandB)=0.8×0.4

STEP 5

Calculate the probability of seeing both a butterfly and a turtle.(A and B)=0.8×0.4=0.32(A \, and \, B) =0.8 \times0.4 =0.32(AandB)=0.8×0.4=0.32The probability of seeing both a butterfly and a turtle is32%.

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Assumptions1. The probability of seeing a butterfly is80% . The probability of seeing a turtle is40%
3. The events of seeing a butterfly and seeing a turtle are independent

The probability of two independent events both happening is the product of their individual probabilities. We can express this as $(A \, and \, B) =(A) \times(B)$

Now, plug in the given values for the probabilities of seeing a butterfly (A) and seeing a turtle (B) to calculate the probability of seeing both.
$(A \, and \, B) =80\% \times40\%$

Convert the percentages to decimal values.
$80\% =0.8$ $40\% =0.4$ $(A \, and \, B) =0.8 \times0.4$

Calculate the probability of seeing both a butterfly and a turtle.
$(A \, and \, B) =0.8 \times0.4 =0.32$ The probability of seeing both a butterfly and a turtle is32%.