Question

a student flips a fair coin 20 times and gets 15 heads. according to the law of large numbers, what should they expect on the next flip? still 50% chance of heads and 50% chance of tails impossible to determine without more flips more likely to be heads because thats the pattern more likely to be tails because the coin is due for tails in a school survey, 60% of students like pizza and 40% like burgers. if these events are not mutually exclusive, what additional information do you need to find p(pizza or burgers)? the total number of students surveyed the sample space of all possible foods whether the students are male or female p(pizza and burgers)

Explanation:

First Question

Step1: Recall coin - flip property

A fair coin flip is an independent event. Each flip has no influence from previous flips.

Step2: Determine probability

The probability of getting heads or tails on a fair coin flip is always 0.5 or 50% for each outcome.

Second Question

Step1: Recall probability formula for non - mutually exclusive events

The formula for $P(A\ or\ B)$ when $A$ and $B$ are non - mutually exclusive is $P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$.

Step2: Identify missing information

We know $P(pizza) = 0.6$ and $P(burgers)=0.4$. To find $P(pizza\ or\ burgers)$, we need $P(pizza\ and\ burgers)$.

Answer:

First Question: Still 50% chance of heads and 50% chance of tails
Second Question: P(pizza AND burgers)