MATH 150 La Salle University Find the Probability Questions

Work must be shown step by step with each answer circled please use the powerpoint below to answer the questions

These are the questions that need to be answered:

• The digits: ‘1,2,3,4,5,6,7,8,9’ are written on separate pieces of paper.
  • Find the probability of picking an even number or a 9? _______
  • Find the probability of picking an even number or a 6? _______
  • Find the probability of picking an even number? ________
  • Find the probability of selecting a 9 and a 3 with replacement? ________
  • Find the probability of selecting a 5 and a 7 without replacement? ________
  • Find the probability of selecting a 5 and an even without replacement? ________
• _______
• (₉C₆)(₆C₃)_______
• ______
• ₁₂P₁₂_______
• If you have 12 different cars and can only place 4 of them into the showcase at one time, how many ways could you display them? _____________
• A club needs three members out of 25 to paint the clubhouse; how many ways can this be done? _____________
• There are 5 yellow marbles, 6 purple marbles, 3 pink marbles, and 6 blue marbles, in a box. With 5 selections:
  • How many ways can you select 2 purple, 1 pink and 2 blue marbles? _____________
  • What is the probability of selecting 2 purple, 1 pink and 2 blue marbles? ____________
• From the table below:
  • Find P(fast | red)__________
  • Find P(yellow | slow)________
  • Find P(green | fast)_________
  • Find P(medium | red)_________
  • Find P(red or green)__________
• Four hundred raffle tickets are sold for $2 each. One prize of $800 is awarded.
  • What is the expected value of purchasing one ticket? ______
  • What is the fair price of a ticket? ______
• The digits: ‘0, 1,2,3,4,5,6,7,8,9’ are written on separate pieces of paper.
  • Find the Odds in favor of picking an even number _______
  • Find the Odds against picking an even number _______
• A committee of 4 must be formed from a group of 9 men and 16 women. Find the probability that:

• 2 women and 2 men are selected ___________
• 1 woman and 3 men are selected ___________
• 3 women and 1 man are selected ___________