Hi! Someone was helping me earlier with these but their explanation was hard to understand. Can someone ELSE help me? Thanka! :)
1.) There is a 10% chance it will rain on Saturday and a 30% chance it will rain on Sunday. What percent chance is there that it will rain on both Saturday and Sunday?
2.) In a shipment of alarm clocks, the probability that one alarm clock is defective is 0.04. Charlie selects three alarm clocks at random. If he puts each clock back with the rest of the shipment before selecting the next one, what is the probability that all three alarm clocks are defective?
3.) A builder has 8 lots available for sale.
·Six lots are greater than one acre.
·Two lots are less than one acre.
What is the probability that the next three lots sold will be greater than one acre?
4.) A cafeteria has 5 turkey sandwiches, 6 cheese sandwiches, and 4 tuna sandwiches. There are two students in line and each will take a sandwich. What is the probability that the first student takes a cheese sandwich and the next student takes a turkey sandwich? 2/15
1. (10/10)(3/10)=?
2. (0.04)^3= ?
4. (6/15)(5/14) = ?
And what do I do for #3?
Also, I got 1/14 for #4 and #2 I'm stuck on. Thanks:)
1.) To find the percent chance that it will rain on both Saturday and Sunday, you need to multiply the individual probabilities.
Step 1: Convert the percentages to decimals. 10% is equal to 0.10 and 30% is equal to 0.30.
Step 2: Multiply the two probabilities together: 0.10 * 0.30 = 0.03
Step 3: Convert the decimal back to a percentage: 0.03 * 100 = 3%
Therefore, there is a 3% chance that it will rain on both Saturday and Sunday.
2.) To find the probability that all three alarm clocks are defective, you need to multiply the individual probabilities.
Step 1: The probability of one alarm clock being defective is given as 0.04.
Step 2: Since Charlie selects three alarm clocks with replacement (putting each clock back), the probability of selecting a defective clock remains the same each time. So, you need to multiply the probability of one defective clock by itself three times.
Step 3: Calculate the probability: 0.04 * 0.04 * 0.04 = 0.000064
Therefore, the probability that all three alarm clocks are defective is 0.000064, or 0.0064%.
3.) To find the probability that the next three lots sold will be greater than one acre, you need to consider the total number of lots available and the number of desired lots.
Step 1: Calculate the probability of selecting a lot greater than one acre on the first try: 6 lots greater than one acre / 8 total lots = 6/8 = 0.75
Step 2: Since the lots are selected with replacement, the probability remains the same for each selection.
Step 3: Multiply the probabilities of each selection together: 0.75 * 0.75 * 0.75 = 0.421875
Therefore, the probability that the next three lots sold will be greater than one acre is approximately 0.4219, or 42.19%.
4.) To find the probability that the first student takes a cheese sandwich and the next student takes a turkey sandwich, you need to consider the total number of sandwiches available and the desired sandwiches.
Step 1: Calculate the probability of the first student selecting a cheese sandwich: 6 cheese sandwiches / (5 turkey + 6 cheese + 4 tuna sandwiches) = 6/15 = 2/5
Step 2: After the first student takes a cheese sandwich, there will be 5 turkey sandwiches left out of the remaining 14 sandwiches.
Step 3: Calculate the probability of the second student selecting a turkey sandwich: 5 turkey sandwiches / 14 remaining sandwiches = 5/14
Step 4: Multiply the probabilities of each student's selection together: (2/5) * (5/14) = 10/70 = 1/7 = 2/14
Therefore, the probability that the first student takes a cheese sandwich and the next student takes a turkey sandwich is 2/14, which simplifies to 1/7 or approximately 0.1429, or 14.29%.