Question

a and b are independent events. use the following probabilities to answer the places. p(a) = 0.49, p(a and b) = 0.02, find p(b) p(b) = enter an integer or decimal number, accurate to at least 4 decimal places more.. hint: independent events video on independent events +

Explanation:

Step1: Recall the formula for independent events

For independent events $A$ and $B$, $P(A\cap B)=P(A)\times P(B)$.

Step2: Solve for $P(B)$

We can re - arrange the formula to $P(B)=\frac{P(A\cap B)}{P(A)}$.
Substitute $P(A) = 0.49$ and $P(A\cap B)=0.02$ into the formula: $P(B)=\frac{0.02}{0.49}$.

Step3: Calculate the value

$P(B)=\frac{0.02}{0.49}\approx0.0408$

Answer:

$0.0408$