A contestant’s final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base amount, the contestant randomly selects one of four cards, where two cards are marked $1,000, one card is marked $2,000, and one card is marked $5,000. After choosing the card, the contestant randomly selects one of five chips, where three chips are red and two chips are white. If the selected chip is red, the contestant’s final winnings are twice the value of the base amount. If the selected chip is white, the contestant’s final winnings are the value of the base amount. What is the probability that a contestant’s final winnings are exactly $2,000?

A large store has a customer service department where customers can go to ask for help with store-related issues. According to store records, approximately ¼ of all customers who go to the service department ask for help finding an item. Assume the reason each customer goes to the service department is independent from customer to customer. Based on the approximation, what is the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item?

A tropical storm is classified as major if it has sustained winds greater than 110 miles per hour. Based on data from the past two decades, a meteorologist estimated the following percentages about future storms.

• 20% of all tropical storms will originate in the Atlantic Ocean, of which 20% will be classified as major.
• 30% of all tropical storms will originate in the eastern Pacific Ocean, of which 15% will be classified as major.
• 50% of all tropical storms will originate in the western Pacific Ocean, of which 25% will be classified as major.

Based on the meteorologist’s estimates, approximately what is the probability that a future tropical storm will originate in the Pacific Ocean and be classified as major?

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?

James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. What is the probability of rolling 2 sixes?

James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. What is the probability of rolling no sixes?

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking two limes?

Machine A makes 60% of the bottles in a factory and machine B makes the others. Machine A breaks 3% of products it produces and Machine B breaks 4%. If a bottle is selected at random what is the probability it is a broken bottle from machine A?

Machine A makes 60% of the bottles in a factory and machine B makes the others. Machine A breaks 3% of products it produces and Machine B breaks 4%. What percentage of all bottles get broken?

The probability of rain tomorrow is 1/4. If it does rain, the probability of school being closed is 2/5. If it does not rain, the probability of school being closed is 1/20. What is the probability that it rains and school is open?

Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability they win one game each?

Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability that Bob wins both games?