The experimental probability that

Alexander wins a tennis match is 0.21.
If he plays 40 tennis matches in the next week, about how many matches can
Alexander expect to lose?

Is it 32 matches?

Right,

To find out how many matches Alexander can expect to lose, we need to calculate the expected number of losses based on the experimental probability.

The experimental probability of winning a match is given as 0.21. This means that out of every 100 matches, Alexander is expected to win 21 matches.

To calculate the number of matches Alexander can expect to lose, we need to subtract the number of matches he is expected to win from the total number of matches played.

In this case, Alexander is playing 40 matches, so the number of matches he can expect to lose is:

Number of matches played - Number of matches won
= 40 - (40 * 0.21)
= 40 - 8.4
= 31.6

Rounding to the nearest whole number, Alexander can expect to lose about 32 matches, not exactly 32 matches as you mentioned.

Therefore, your answer of 32 matches is very close, but to be more precise, it will be about 32 matches.