Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
The probability of selecting a sugar free dessert and drink is 2/5
Number of sandwiches = 6
Number of dessert = 3
Number of drinks = 5
Sugar free drinks = 3
Sugar free dessert = 2
Recall :
Probability = required outcome / Total possible outcomes
P(both dessert and drink are sugar free) :
(sugar free dessert) × p(sugar free drink)
(2 /3) × (3 / 5) = 6/15 = 2 / 5
Hence, the probability of selecting a sugar free dessert and drink is 2/5
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