03) I the replacement set for x is 12, 3, 4, 5, 6 what is the probability that a

Question

03) I the replacement set for x is 12, 3, 4, 5, 6 what is the probability that a number chosen at random from the replacement set will make the expression 3x I an odd number? 04) There are four coins in a jar: a penny, a nickel, a dime, and a quarter. One coin is removed at random, Without replacing the first coin a second coin is removed. a) Draw a tree diagram or box diagram or list the sample space. b) Find the probability the total value of the two coins selected is 11 cents? c) Find the probability the total value of the two coins selected is greater than 35 cents? d) Find the probability the total value of the two coins selected is at most 30 cents? 05) John placed 5 letters in 5 envelopes while he was watching TV and addressed the envelopes without checking if each letter was in the correct envelope. What is the probability that all 5 letters are in the correct envelope?

Explanation / Answer

3.Given that 3x- 1 to be odd number.It Implies 3x must be even number. 3x will be odd when x is even.

So the number drawn should be even number

Required probalility = Number of Even Numbers/ Total Numbers

= 3/5

5. Total Number of possble utcomes is 5! = 120

Out of which only one outcome will result in which all letters going to right envelop

So the probability is given by 1/120

7.

Q6 50-57 9 58-65 6 66-73 10 74-81 4 82-89 1 Total Sum of Frequency 30 Out of the available 30 frequencies temperature is less than 74 in 25 instances (9+6+10+25) So required Probability is given by 25/30 5/6

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