Question

13 There are 50 cars in a school car park Five of
the cars are block. What is the probability that
the first car to leave the car park will be black?​

Answer 1

☣ Qᴜᴇsᴛɪᴏɴ ☣

➥ 13 There are 50 cars in a school car park Five of the cars are block. What is the probability that the first car to leave the car park will be black?

⛦ Aɴsᴡᴇʀ ⛦

➥ Probability of first car to leave = $\displaystyle{\sf{\frac{1}{10}}}$

☄ Gɪᴠᴇɴ ☄

➤ Total number of cars = 50

➤ Number of black cars = 5

⚛ Tᴏ Fɪɴᴅ ⚛

➤ P (B) = ? ⠀⠀⠀⠀⠀⠀(first car to leave )

❏ According To Given Question

❊ As we know that the formula for finding the P (E) is ፦

$\displaystyle{: \implies \bf{P\:(E) = \frac{ No. \:of\: (E) \:events}{Total \:no. \:of\: (E) \: events} }}$

⤵ On putting the given value in the formula, we get

$\displaystyle{: \implies \sf{P\:(B) = \frac{No. \: of \: black \: cars}{Total \: no. \: of \: cars} }} \\ \\ {: \implies \sf{P\:(B) = \frac{ \cancel{ \: 5 \: }}{ \cancel{50} } = \frac{1}{10} }} \\ \\ : \implies \sf{P\:(B) = \underline{ \boxed{ \purple{ \bf{ \: \: \frac{1}{10} \: \: }}}}}$

Hence, probability that black car will be first to leave .

[ NOTE :- Probability that it's black ..here in this question Event= Black E=B ]