a fair coin is flipped. if the flip results in a head, then a fruit is selected from a basket containing 8 apples, 2 bananas, and 6 cantaloups. if the flip results in a tail, then a fruit is selected from a basket containing 6 apples and 4 bananas. what is the probability that the flip resulted in tails, given that the fruit selexted is a banana g

Solution :

We have given two baskets :

: 8 apples + 2 bananas + 6 cantaloupes = 16 fruits

: 6 apples + 4 bananas = 10 fruits

A fair coin is made to flipped. If the results is head, then the fruit is selected from a basket .

If the flip results in tail, then the fruit is selected from the basket .

Probability of head P(H) =

Probability of tail P(T) =

if given event is :

B = selected fruit is BANANA

We have to calculate : P(T|B)

Probability of banana if the flip results is head P(B|H) =

Probability of banana if the flip results is tail P(B|T) =

From the Bayes' theorem :

Probability of flip results is tail when selected fruit is BANANA.

∴  

16

step-by-step explanation:

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208