there are 60 jars of strawberry jam 75 jars of raspberry jam and 26 jars of grape jam. What is the probability that Steve will grab 1 jar of raspberry jam strawberry jam and grape jam

Answer 1

If Steve randomly selects a jar, he can get 1 jar of raspberry jam, 1 jar of strawberry jam and 1 jar of grape jam in six different ways, r-s-g, r-g-s, s-r-g, s-g-r, g-r-s, g-s-r. You could put these in a table and calculate the probabilities associated with each case:

All the other rows will result in the same totals (I'll leave it to you to do that)

The total probability is the individuals added up so (117000*6)/4095840 = 702000/4095840 = 2925/17066 = 17.14%.

From a mathematical perspective, the "equation way" to do this problem is to use combinations. The probability is ₇₅C₁*₆₀C₁*₂₆C₁/₁₆₁C₃

Answer 2

1/60 * 1/75 * 1/26 = 0.00000857+ = 0.000857%