University:
Purdue University
Course:
MA 37500 | Introduction To Discrete Mathematics
Academic year:

2024
Views:

428

Pages:

13
Author:

ruzindukovz

CHECK Your Understanding 1. Zach is playing a board game. He must roll two four-sided dice, numbered 1 to 4. He can move if he rolls a sum of 2/oda sum of 8. 6 12 31 4,4 -1114,4 a) Use A and B to represent the two events that will allow Zach to move. Then draw a Venn diagram to illustrate A and B. 14 b) Are A and B mutually exclusive or not mutually exclusive? c) Determine the probability that Zach will roll a sum of 2 or a sum of 8. 2chance To porn bilutley = 0.125 d) Determine the probability that Zach will roll doubles or S a sum of 6. 6 16 0.375 2) Pearl is about to draw a card at random from a standard deck of (don't count overlap tunics) 23 52 playing cards. If she draws a face card or a spade, she will win a point. 567 a) Draw a Venn diagram to represent the two events. 910 b) Are the events mutually exclusive? No, Jot overlap D c) Determine the probability of drawing a face card or a spade. 94340 52 3. The probability that Maria will go to the gym on Saturday is 0.75. The probability that she will go shopping on Saturday is 0.4. 0.75+04+0.2=1,31 The probability that she will do neither is 0.2. a) Draw a Venn diagram to represent the two events. 35 amely 0.2 b) Are the two events mutually exclusive? No, outlay c) Determine the probability that Maria will do. at least one of these activities on Saturday. = 0.8 PRACTISING 4. For each of the following, state whether the events are mutually exclusive. Explain your reasoning. a) Selecting a prime number or selecting an even number from a set of 15 balls, numbered 1 to 15 n, 2is ever and prim b) Rolling a sum of 10 ad a sum of 7 with a pair of six-sided dice, numbered 1 to 6 yes 7#10, never got these at th Same tir c) Walking to school or getting a ride to school yes -can' des both of the same tha bability

Probability Practice Solutions

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