Question

q 24.) keesha tossed four coins. the chart below shows all possible outcomes. what is the probability that all four of the coins will land on tails? express your answer as a decimal.

Explanation:

Step1: Determine total number of outcomes

Each coin has 2 possible outcomes (heads or tails). For 4 coins, the total number of possible outcomes is $2\times2\times2\times2 = 2^4=16$ according to the multiplication - principle of counting.

Step2: Determine favorable number of outcomes

The favorable outcome is all - tails, which is only 1 case (TTTT).

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{1}{16}=0.0625$.

Answer:

$0.0625$