95.1k views
8 votes
Help please

Suleika has six cards numbered 1 to 6.

1 1

2

3

4

5

(a) She takes one card at random, records the number and replaces the card,

(i) Write down the probability that the number is 5 or 6.

6

[1]

(ii) Suleika does this 300 times.

Find how many times she expects the number 5 or 6.​

Help please Suleika has six cards numbered 1 to 6. 1 1 2 3 4 5 (a) She takes one card-example-1
User Nils O
by
7.8k points

2 Answers

5 votes

math is so hard.......

User Machine Yearning
by
8.4k points
7 votes

She expects to draw the number 5 or 6 around 100 times out of the 300 draws.

To find the probability that the number drawn is 5 or 6 when Suleika picks one card at random, you can count the favorable outcomes and divide it by the total number of possible outcomes.

Favorable outcomes (drawing 5 or 6): 2 (since there are two cards numbered 5 or 6)

Total number of possible outcomes: 6 (total number of cards)

Probability of drawing 5 or 6 = Favorable outcomes / Total outcomes

Probability = 2/6 = 1/3

So, the probability of drawing a 5 or 6 is 1/3.

Now, if Suleika repeats this process 300 times, the expected number of times she would draw a 5 or 6 can be calculated using the probability.

Expected number of times = Probability of event * Total number of trials

Expected number of times = (1/3) * 300 = 100

Therefore, she expects to draw the number 5 or 6 around 100 times out of the 300 draws.

User Mubir
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories