161k views
7 votes
5. A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?

8/45
3/25
4/25
2/15

2 Answers

8 votes

Answer:

2/15

Explanation:

Given:

A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?

8/45

3/25

4/25

2/15

Solve:

Knowing that total = 10 { 4 white balls and 6 yellow balls}

P(first white)=4/10=2/5 { 4 out of 10 balls are white}

P(second white)=3/9=1/3 { 3 out of 9 balls are white; Since no replaced}

P(both white)=2/5 × 1/3=2/15

Hence, Answer = 2/15

Lenvy~

User LorikMalorik
by
3.4k points
3 votes
2/15
First Draw
There are 4 white balls and 6 yellow balls and 10 balls in total so a 4/10 chance to get a white ball
Second Draw
Now you are down one white ball so now it’s a 3/9 chance to get a white ball
Then you just multiply the probabilities together to get 2/15
User Xpagesbeast
by
3.3k points