A trader has 100 mangoes for sale. Twenty of them are unripe. Another five of them are bad. If he picks a mango is at random, find the probability that it is :
a) unripe?
b) bad?
c) neither unripe nor bad?
Assuming that "bad" means neither ripe nor unripe, there are 75 ripe mangoes
a) 20/100
b) 5/100
c) 75/100
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To find the probability of each event, we need to calculate the ratio of the favorable outcomes to the total number of possible outcomes.
a) The probability of picking an unripe mango can be calculated as follows:
Number of unripe mangoes = 20
Total number of mangoes = 100
Probability of picking an unripe mango = Number of unripe mangoes / Total number of mangoes
= 20 / 100
= 1/5
Therefore, the probability of picking an unripe mango is 1/5 or 0.2.
b) The probability of picking a bad mango can be calculated as follows:
Number of bad mangoes = 5
Total number of mangoes = 100
Probability of picking a bad mango = Number of bad mangoes / Total number of mangoes
= 5 / 100
= 1/20
Therefore, the probability of picking a bad mango is 1/20 or 0.05.
c) To find the probability of picking a mango that is neither unripe nor bad, we need to calculate the number of ripe mangoes. Since the total number of mangoes is 100 and we know that 20 are unripe and 5 are bad, the number of ripe mangoes can be calculated as follows:
Number of ripe mangoes = Total number of mangoes - Number of unripe mangoes - Number of bad mangoes
= 100 - 20 - 5
= 75
Probability of picking neither unripe nor bad mango = Number of ripe mangoes / Total number of mangoes
= 75 / 100
= 3/4
Therefore, the probability of picking a mango that is neither unripe nor bad is 3/4 or 0.75.