Question

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.​

Answer 1

math is so hard.......

Answer 2

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.