1) A card is draw from a deck of cards. What is the probability of getting a red
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Question
1) A card is draw from a deck of cards. What is the probability of getting a red card, a jack, queen, or king? 2) The distribution of age of CEO'S is as follows: Age Frequency 21-30 31-40 41-5027 51-6029 61-70 24 If a CEO is selected at random, find the probability that his or her age is a) between 31 and 40 b) under 31 c) over 30 and under 51 d) under 31 or over 60 There are 43 containers of yogurt on a grocer's shelf, 4 of which are spoiled. If Mike selects a container of yogurt at random from this group, find the probability that he selects one that is not spoiled. 3) 4) What is the probability of getting a sum of 8 in tossing two fair dice? 5) Given the numbers 1,5,8,4 a) how many two-digit numbers can be formed? b) how many numbers are greater than 55? c) how many numbers are less than or equals to 12?Explanation / Answer
1)
Number of red cards = 26
Number of black jack cards (red jacks are already included in red cards) = 2
Similarly, number of black queen cards = 2
number of black king cards = 2
Probability of getting a red card, a jack, a queen or king = (26 + 2 + 2 + 2) / 52 = 0.6154
2)
Total frequency = 1 + 8 + 27 + 29 + 24 + 11 = 100
a)
Probability that CEO age is between 31 and 40 = Frequency for age 31 and 40 / Total frequency
= 8 / 100 = 0.08
b)
Probability that CEO age is under 31 = Frequency for age under 31 / Total frequency
= 1 / 100 = 0.01
c)
Probability that CEO age is over 30 and under 51 = Frequency for age over 30 and under 51 / Total frequency
= (8 + 27) / 100 = 0.35
d)
Probability that CEO age is under 31 or over 60 = Frequency for age under 31 or over 60/ Total frequency
= (1 + 24 + 11) / 100 = 0.36
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