The weatherman predicts a 20% chance of rain on Thursday. If it rains, there is a 10% chance that your roof will leak. (If it doesn't rain, of course, your roof is safe.) What is the chance that you will have a leaky roof on Thursday

2%

Step-by-step explanation:

Probability of rain, P(R) = 0.2

Probability of leak Given that it rains, P(L|R) = 0.1

Probability of leak Given that it does not rain, P(L|R') = 0

According to Baye's Rule:

P(L) = [P(L|R) * P(R)] + [P(L|R') * P(R')]

P(R') = 1 - P(R) = 1 - 0.2 = 0.8

P(L) = [0.1 * 0.2] + [0 * 0.8]

P(L) = 0.02 + 0

P(L) = 0.02

Hence, probability of a roof leak on Thursday is 0.02 = (0.02 * 100%) = 2%

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

3030 ur welcome

step-by-step explanation: