Question

b) The probability that at most one is an Almond Joy bar.

4) It is late on Halloween and the candy bowl contains five Almond Joy bars and eight Snickers bars. If you choose four bars at random find the following probabilities: Use the appropriate counting notation and evaluate sa o ldini on Sound (S a) That exactly three are Almond Joy bars. os t roa 6

Answer 1

aP(exactly 3 are Almond Joy bars)=P(choose 3 out of 5 Almond Joy bars and 1 out of 8 Snickers bars)

=(₅C₃)*(₈C₁)/(₁₃C₄)

=10*8/715
=16/143

b)

probability that at most one is an Almond Joy bar =P(X<=1) =P(X=0)+P(X=1)

=(₅C₀)*(₈C₄)/(₁₃C₄)+(₅C₁)*(₈C₃)/(₁₃C₄)

=(1*70/715)+(5*56/715)

=70/143