Question

Do you know Squidward? According to a survey by Nickelodeon TV, 92% of children under in Germany recognized a picture of the cartoon character SpongeBob SquarePants. Assume that among those children, 83% also recognized SpongeBob's cranky neighbor Squidward Tentacles. What is the probability that a German child recognized both SpongeBob and Squidward? Write your answer as a fraction or a decimal, rounded to four decimal places.

Answer 1

SOLUTION

Now from the question,

Probability that a German child recognized SpongeBob is 92% and

Probability that a German child recognized Squidward is 83%

So, Probability (SpongeBob and Squidward) becomes

$\begin{gathered} 92\%\times83\% \\ \frac{92}{100}\times\frac{83}{100} \\ 0.92\times0.83 \\ =0.7636 \end{gathered}$

Hence the answer is 0.7636 rounded to four decimal places.